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Finding the Fourth Proportional to 288,389.60, 432,333.84 and 138,554.72

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Solution

The fourth proportional to 288,389.60, 432,333.84 and 138,554.72 is: 207,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,389.60 : 432,333.84 = 138,554.72 : x
  2. Step 2: Convert to fraction form
    288,389.60/432,333.84 = 138,554.72/x
  3. Step 3: Cross multiply
    288,389.60x = 432,333.84 × 138,554.72
  4. Step 4: Simplify right side
    288,389.60x = 59,901,894,147.72
  5. Step 5: Solve for x
    x = 59,901,894,147.72/288,389.60
  6. Step 6: Final answer
    x = 207,711.70

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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.