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Finding the Fourth Proportional to 457,718.80, 686,707.80 and 142,207.60

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Solution

The fourth proportional to 457,718.80, 686,707.80 and 142,207.60 is: 213,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,718.80 : 686,707.80 = 142,207.60 : x
  2. Step 2: Convert to fraction form
    457,718.80/686,707.80 = 142,207.60/x
  3. Step 3: Cross multiply
    457,718.80x = 686,707.80 × 142,207.60
  4. Step 4: Simplify right side
    457,718.80x = 97,655,068,139.28
  5. Step 5: Solve for x
    x = 97,655,068,139.28/457,718.80
  6. Step 6: Final answer
    x = 213,351.67

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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.