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Finding the Fourth Proportional to 288,569.90, 432,854.85 and 164,153.90

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Solution

The fourth proportional to 288,569.90, 432,854.85 and 164,153.90 is: 246,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,569.90 : 432,854.85 = 164,153.90 : x
  2. Step 2: Convert to fraction form
    288,569.90/432,854.85 = 164,153.90/x
  3. Step 3: Cross multiply
    288,569.90x = 432,854.85 × 164,153.90
  4. Step 4: Simplify right side
    288,569.90x = 71,054,811,761.42
  5. Step 5: Solve for x
    x = 71,054,811,761.42/288,569.90
  6. Step 6: Final answer
    x = 246,230.85

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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.