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Finding the Fourth Proportional to 315,023.62, 472,537.14 and 78,366.34

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Solution

The fourth proportional to 315,023.62, 472,537.14 and 78,366.34 is: 117,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,023.62 : 472,537.14 = 78,366.34 : x
  2. Step 2: Convert to fraction form
    315,023.62/472,537.14 = 78,366.34/x
  3. Step 3: Cross multiply
    315,023.62x = 472,537.14 × 78,366.34
  4. Step 4: Simplify right side
    315,023.62x = 37,031,006,175.87
  5. Step 5: Solve for x
    x = 37,031,006,175.87/315,023.62
  6. Step 6: Final answer
    x = 117,549.94

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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.