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Finding the Fourth Proportional to 513,486.75, 770,005.40 and 243,692.21

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Solution

The fourth proportional to 513,486.75, 770,005.40 and 243,692.21 is: 365,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,486.75 : 770,005.40 = 243,692.21 : x
  2. Step 2: Convert to fraction form
    513,486.75/770,005.40 = 243,692.21/x
  3. Step 3: Cross multiply
    513,486.75x = 770,005.40 × 243,692.21
  4. Step 4: Simplify right side
    513,486.75x = 187,644,312,569.45
  5. Step 5: Solve for x
    x = 187,644,312,569.45/513,486.75
  6. Step 6: Final answer
    x = 365,431.65

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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.