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Finding the Fourth Proportional to 531,978.12, 734,397.50 and 338,580.49

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Solution

The fourth proportional to 531,978.12, 734,397.50 and 338,580.49 is: 467,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,978.12 : 734,397.50 = 338,580.49 : x
  2. Step 2: Convert to fraction form
    531,978.12/734,397.50 = 338,580.49/x
  3. Step 3: Cross multiply
    531,978.12x = 734,397.50 × 338,580.49
  4. Step 4: Simplify right side
    531,978.12x = 248,652,665,404.78
  5. Step 5: Solve for x
    x = 248,652,665,404.78/531,978.12
  6. Step 6: Final answer
    x = 467,411.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.