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Finding the Fourth Proportional to 352,152.80, 527,419.20 and 289,167.20

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Solution

The fourth proportional to 352,152.80, 527,419.20 and 289,167.20 is: 433,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,152.80 : 527,419.20 = 289,167.20 : x
  2. Step 2: Convert to fraction form
    352,152.80/527,419.20 = 289,167.20/x
  3. Step 3: Cross multiply
    352,152.80x = 527,419.20 × 289,167.20
  4. Step 4: Simplify right side
    352,152.80x = 152,512,333,290.24
  5. Step 5: Solve for x
    x = 152,512,333,290.24/352,152.80
  6. Step 6: Final answer
    x = 433,085.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.