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Finding the Fourth Proportional to 352,147.80, 527,411.70 and 289,162.20

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Solution

The fourth proportional to 352,147.80, 527,411.70 and 289,162.20 is: 433,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,147.80 : 527,411.70 = 289,162.20 : x
  2. Step 2: Convert to fraction form
    352,147.80/527,411.70 = 289,162.20/x
  3. Step 3: Cross multiply
    352,147.80x = 527,411.70 × 289,162.20
  4. Step 4: Simplify right side
    352,147.80x = 152,507,527,477.74
  5. Step 5: Solve for x
    x = 152,507,527,477.74/352,147.80
  6. Step 6: Final answer
    x = 433,078.18

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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.