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Finding the Fourth Proportional to 472,758.28, 709,143.60 and 157,215.16

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Solution

The fourth proportional to 472,758.28, 709,143.60 and 157,215.16 is: 235,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,758.28 : 709,143.60 = 157,215.16 : x
  2. Step 2: Convert to fraction form
    472,758.28/709,143.60 = 157,215.16/x
  3. Step 3: Cross multiply
    472,758.28x = 709,143.60 × 157,215.16
  4. Step 4: Simplify right side
    472,758.28x = 111,488,124,536.98
  5. Step 5: Solve for x
    x = 111,488,124,536.98/472,758.28
  6. Step 6: Final answer
    x = 235,824.80

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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.