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Finding the Fourth Proportional to 315,082.90, 472,461.15 and 93,438.10

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Solution

The fourth proportional to 315,082.90, 472,461.15 and 93,438.10 is: 140,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,082.90 : 472,461.15 = 93,438.10 : x
  2. Step 2: Convert to fraction form
    315,082.90/472,461.15 = 93,438.10/x
  3. Step 3: Cross multiply
    315,082.90x = 472,461.15 × 93,438.10
  4. Step 4: Simplify right side
    315,082.90x = 44,145,872,179.82
  5. Step 5: Solve for x
    x = 44,145,872,179.82/315,082.90
  6. Step 6: Final answer
    x = 140,108.75

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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.