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Finding the Fourth Proportional to 564,960.45, 847,442.07 and 138,498.15

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Solution

The fourth proportional to 564,960.45, 847,442.07 and 138,498.15 is: 207,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,960.45 : 847,442.07 = 138,498.15 : x
  2. Step 2: Convert to fraction form
    564,960.45/847,442.07 = 138,498.15/x
  3. Step 3: Cross multiply
    564,960.45x = 847,442.07 × 138,498.15
  4. Step 4: Simplify right side
    564,960.45x = 117,369,158,927.17
  5. Step 5: Solve for x
    x = 117,369,158,927.17/564,960.45
  6. Step 6: Final answer
    x = 207,747.57

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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.