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Finding the Fourth Proportional to 310,988.55, 429,296.61 and 209,073.12

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Solution

The fourth proportional to 310,988.55, 429,296.61 and 209,073.12 is: 288,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,988.55 : 429,296.61 = 209,073.12 : x
  2. Step 2: Convert to fraction form
    310,988.55/429,296.61 = 209,073.12/x
  3. Step 3: Cross multiply
    310,988.55x = 429,296.61 × 209,073.12
  4. Step 4: Simplify right side
    310,988.55x = 89,754,379,511.64
  5. Step 5: Solve for x
    x = 89,754,379,511.64/310,988.55
  6. Step 6: Final answer
    x = 288,609.92

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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.