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Finding the Fourth Proportional to 539,947.71, 745,223.49 and 310,487.20

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Solution

The fourth proportional to 539,947.71, 745,223.49 and 310,487.20 is: 428,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,947.71 : 745,223.49 = 310,487.20 : x
  2. Step 2: Convert to fraction form
    539,947.71/745,223.49 = 310,487.20/x
  3. Step 3: Cross multiply
    539,947.71x = 745,223.49 × 310,487.20
  4. Step 4: Simplify right side
    539,947.71x = 231,382,352,921.27
  5. Step 5: Solve for x
    x = 231,382,352,921.27/539,947.71
  6. Step 6: Final answer
    x = 428,527.33

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Double scale
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1.5x scale

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.