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Finding the Fourth Proportional to 457,848.60, 686,877.30 and 142,337.40

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Solution

The fourth proportional to 457,848.60, 686,877.30 and 142,337.40 is: 213,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,848.60 : 686,877.30 = 142,337.40 : x
  2. Step 2: Convert to fraction form
    457,848.60/686,877.30 = 142,337.40/x
  3. Step 3: Cross multiply
    457,848.60x = 686,877.30 × 142,337.40
  4. Step 4: Simplify right side
    457,848.60x = 97,768,329,001.02
  5. Step 5: Solve for x
    x = 97,768,329,001.02/457,848.60
  6. Step 6: Final answer
    x = 213,538.56

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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.