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Finding the Fourth Proportional to 530,275.50, 731,780.31 and 291,811.50

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Solution

The fourth proportional to 530,275.50, 731,780.31 and 291,811.50 is: 402,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,275.50 : 731,780.31 = 291,811.50 : x
  2. Step 2: Convert to fraction form
    530,275.50/731,780.31 = 291,811.50/x
  3. Step 3: Cross multiply
    530,275.50x = 731,780.31 × 291,811.50
  4. Step 4: Simplify right side
    530,275.50x = 213,541,909,931.57
  5. Step 5: Solve for x
    x = 213,541,909,931.57/530,275.50
  6. Step 6: Final answer
    x = 402,699.94

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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.