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Finding the Fourth Proportional to 981,821, 1,472,897.57 and 502,257.01

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Solution

The fourth proportional to 981,821, 1,472,897.57 and 502,257.01 is: 753,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,821 : 1,472,897.57 = 502,257.01 : x
  2. Step 2: Convert to fraction form
    981,821/1,472,897.57 = 502,257.01/x
  3. Step 3: Cross multiply
    981,821x = 1,472,897.57 × 502,257.01
  4. Step 4: Simplify right side
    981,821x = 739,773,129,544.47
  5. Step 5: Solve for x
    x = 739,773,129,544.47/981,821
  6. Step 6: Final answer
    x = 753,470.47

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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.