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Finding the Fourth Proportional to 513,486.78, 770,005.47 and 243,692.24

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Solution

The fourth proportional to 513,486.78, 770,005.47 and 243,692.24 is: 365,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,486.78 : 770,005.47 = 243,692.24 : x
  2. Step 2: Convert to fraction form
    513,486.78/770,005.47 = 243,692.24/x
  3. Step 3: Cross multiply
    513,486.78x = 770,005.47 × 243,692.24
  4. Step 4: Simplify right side
    513,486.78x = 187,644,357,796.55
  5. Step 5: Solve for x
    x = 187,644,357,796.55/513,486.78
  6. Step 6: Final answer
    x = 365,431.72

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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.