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Finding the Fourth Proportional to 529,229.78, 730,399.71 and 314,370.70

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Solution

The fourth proportional to 529,229.78, 730,399.71 and 314,370.70 is: 433,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,229.78 : 730,399.71 = 314,370.70 : x
  2. Step 2: Convert to fraction form
    529,229.78/730,399.71 = 314,370.70/x
  3. Step 3: Cross multiply
    529,229.78x = 730,399.71 × 314,370.70
  4. Step 4: Simplify right side
    529,229.78x = 229,616,268,112.50
  5. Step 5: Solve for x
    x = 229,616,268,112.50/529,229.78
  6. Step 6: Final answer
    x = 433,868.76

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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.