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Finding the Fourth Proportional to 288,347.31, 432,599.67 and 138,712.77

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Solution

The fourth proportional to 288,347.31, 432,599.67 and 138,712.77 is: 208,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,347.31 : 432,599.67 = 138,712.77 : x
  2. Step 2: Convert to fraction form
    288,347.31/432,599.67 = 138,712.77/x
  3. Step 3: Cross multiply
    288,347.31x = 432,599.67 × 138,712.77
  4. Step 4: Simplify right side
    288,347.31x = 60,007,098,526.79
  5. Step 5: Solve for x
    x = 60,007,098,526.79/288,347.31
  6. Step 6: Final answer
    x = 208,107.02

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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.