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Finding the Fourth Proportional to 475,357.35, 713,082.60 and 138,401.40

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Solution

The fourth proportional to 475,357.35, 713,082.60 and 138,401.40 is: 207,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,357.35 : 713,082.60 = 138,401.40 : x
  2. Step 2: Convert to fraction form
    475,357.35/713,082.60 = 138,401.40/x
  3. Step 3: Cross multiply
    475,357.35x = 713,082.60 × 138,401.40
  4. Step 4: Simplify right side
    475,357.35x = 98,691,630,155.64
  5. Step 5: Solve for x
    x = 98,691,630,155.64/475,357.35
  6. Step 6: Final answer
    x = 207,615.66

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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.