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Finding the Fourth Proportional to 317,708.07, 438,437.13 and 174,470.50

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Solution

The fourth proportional to 317,708.07, 438,437.13 and 174,470.50 is: 240,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,708.07 : 438,437.13 = 174,470.50 : x
  2. Step 2: Convert to fraction form
    317,708.07/438,437.13 = 174,470.50/x
  3. Step 3: Cross multiply
    317,708.07x = 438,437.13 × 174,470.50
  4. Step 4: Simplify right side
    317,708.07x = 76,494,344,417.31
  5. Step 5: Solve for x
    x = 76,494,344,417.31/317,708.07
  6. Step 6: Final answer
    x = 240,769.29

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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.