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Finding the Fourth Proportional to 530,282, 731,789.28 and 291,818

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Solution

The fourth proportional to 530,282, 731,789.28 and 291,818 is: 402,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,282 : 731,789.28 = 291,818 : x
  2. Step 2: Convert to fraction form
    530,282/731,789.28 = 291,818/x
  3. Step 3: Cross multiply
    530,282x = 731,789.28 × 291,818
  4. Step 4: Simplify right side
    530,282x = 213,549,284,111.04
  5. Step 5: Solve for x
    x = 213,549,284,111.04/530,282
  6. Step 6: Final answer
    x = 402,708.91

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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.