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Finding the Fourth Proportional to 529,172.69, 730,171.74 and 311,564.74

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Solution

The fourth proportional to 529,172.69, 730,171.74 and 311,564.74 is: 429,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,172.69 : 730,171.74 = 311,564.74 : x
  2. Step 2: Convert to fraction form
    529,172.69/730,171.74 = 311,564.74/x
  3. Step 3: Cross multiply
    529,172.69x = 730,171.74 × 311,564.74
  4. Step 4: Simplify right side
    529,172.69x = 227,495,766,503.02
  5. Step 5: Solve for x
    x = 227,495,766,503.02/529,172.69
  6. Step 6: Final answer
    x = 429,908.37

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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.