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Finding the Fourth Proportional to 457,474.60, 686,278.14 and 141,956.92

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Solution

The fourth proportional to 457,474.60, 686,278.14 and 141,956.92 is: 212,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,474.60 : 686,278.14 = 141,956.92 : x
  2. Step 2: Convert to fraction form
    457,474.60/686,278.14 = 141,956.92/x
  3. Step 3: Cross multiply
    457,474.60x = 686,278.14 × 141,956.92
  4. Step 4: Simplify right side
    457,474.60x = 97,421,931,017.73
  5. Step 5: Solve for x
    x = 97,421,931,017.73/457,474.60
  6. Step 6: Final answer
    x = 212,955.93

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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.