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Finding the Fourth Proportional to 288,564.90, 432,847.35 and 267,569.70

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Solution

The fourth proportional to 288,564.90, 432,847.35 and 267,569.70 is: 401,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.90 : 432,847.35 = 267,569.70 : x
  2. Step 2: Convert to fraction form
    288,564.90/432,847.35 = 267,569.70/x
  3. Step 3: Cross multiply
    288,564.90x = 432,847.35 × 267,569.70
  4. Step 4: Simplify right side
    288,564.90x = 115,816,835,585.30
  5. Step 5: Solve for x
    x = 115,816,835,585.30/288,564.90
  6. Step 6: Final answer
    x = 401,354.55

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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.