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Finding the Fourth Proportional to 432,039.30, 647,864.55 and 165,711.30

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Solution

The fourth proportional to 432,039.30, 647,864.55 and 165,711.30 is: 248,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,039.30 : 647,864.55 = 165,711.30 : x
  2. Step 2: Convert to fraction form
    432,039.30/647,864.55 = 165,711.30/x
  3. Step 3: Cross multiply
    432,039.30x = 647,864.55 × 165,711.30
  4. Step 4: Simplify right side
    432,039.30x = 107,358,476,804.42
  5. Step 5: Solve for x
    x = 107,358,476,804.42/432,039.30
  6. Step 6: Final answer
    x = 248,492.39

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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.