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Finding the Fourth Proportional to 487,219.71, 730,821.51 and 145,663.93

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Solution

The fourth proportional to 487,219.71, 730,821.51 and 145,663.93 is: 218,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,219.71 : 730,821.51 = 145,663.93 : x
  2. Step 2: Convert to fraction form
    487,219.71/730,821.51 = 145,663.93/x
  3. Step 3: Cross multiply
    487,219.71x = 730,821.51 × 145,663.93
  4. Step 4: Simplify right side
    487,219.71x = 106,454,333,275.13
  5. Step 5: Solve for x
    x = 106,454,333,275.13/487,219.71
  6. Step 6: Final answer
    x = 218,493.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.