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Finding the Fourth Proportional to 513,692.10, 770,538.15 and 139,715.10

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Solution

The fourth proportional to 513,692.10, 770,538.15 and 139,715.10 is: 209,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,692.10 : 770,538.15 = 139,715.10 : x
  2. Step 2: Convert to fraction form
    513,692.10/770,538.15 = 139,715.10/x
  3. Step 3: Cross multiply
    513,692.10x = 770,538.15 × 139,715.10
  4. Step 4: Simplify right side
    513,692.10x = 107,655,814,681.07
  5. Step 5: Solve for x
    x = 107,655,814,681.07/513,692.10
  6. Step 6: Final answer
    x = 209,572.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.