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Finding the Fourth Proportional to 530,386.96, 731,951.97 and 288,678.32

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Solution

The fourth proportional to 530,386.96, 731,951.97 and 288,678.32 is: 398,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,386.96 : 731,951.97 = 288,678.32 : x
  2. Step 2: Convert to fraction form
    530,386.96/731,951.97 = 288,678.32/x
  3. Step 3: Cross multiply
    530,386.96x = 731,951.97 × 288,678.32
  4. Step 4: Simplify right side
    530,386.96x = 211,298,665,020.29
  5. Step 5: Solve for x
    x = 211,298,665,020.29/530,386.96
  6. Step 6: Final answer
    x = 398,385.86

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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.