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Finding the Fourth Proportional to 457,900.90, 686,848.11 and 142,357.30

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Solution

The fourth proportional to 457,900.90, 686,848.11 and 142,357.30 is: 213,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,900.90 : 686,848.11 = 142,357.30 : x
  2. Step 2: Convert to fraction form
    457,900.90/686,848.11 = 142,357.30/x
  3. Step 3: Cross multiply
    457,900.90x = 686,848.11 × 142,357.30
  4. Step 4: Simplify right side
    457,900.90x = 97,777,842,449.70
  5. Step 5: Solve for x
    x = 97,777,842,449.70/457,900.90
  6. Step 6: Final answer
    x = 213,534.94

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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.