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Finding the Fourth Proportional to 310,988.54, 429,296.62 and 209,073.12

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Solution

The fourth proportional to 310,988.54, 429,296.62 and 209,073.12 is: 288,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,988.54 : 429,296.62 = 209,073.12 : x
  2. Step 2: Convert to fraction form
    310,988.54/429,296.62 = 209,073.12/x
  3. Step 3: Cross multiply
    310,988.54x = 429,296.62 × 209,073.12
  4. Step 4: Simplify right side
    310,988.54x = 89,754,383,748.85
  5. Step 5: Solve for x
    x = 89,754,383,748.85/310,988.54
  6. Step 6: Final answer
    x = 288,609.94

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1.5x scale

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.