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Finding the Fourth Proportional to 288,658.42, 432,876.90 and 99,083.46

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Solution

The fourth proportional to 288,658.42, 432,876.90 and 99,083.46 is: 148,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,658.42 : 432,876.90 = 99,083.46 : x
  2. Step 2: Convert to fraction form
    288,658.42/432,876.90 = 99,083.46/x
  3. Step 3: Cross multiply
    288,658.42x = 432,876.90 × 99,083.46
  4. Step 4: Simplify right side
    288,658.42x = 42,890,941,006.07
  5. Step 5: Solve for x
    x = 42,890,941,006.07/288,658.42
  6. Step 6: Final answer
    x = 148,587.18

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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.