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Finding the Fourth Proportional to 457,801.12, 686,671.60 and 158,212

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Solution

The fourth proportional to 457,801.12, 686,671.60 and 158,212 is: 237,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,801.12 : 686,671.60 = 158,212 : x
  2. Step 2: Convert to fraction form
    457,801.12/686,671.60 = 158,212/x
  3. Step 3: Cross multiply
    457,801.12x = 686,671.60 × 158,212
  4. Step 4: Simplify right side
    457,801.12x = 108,639,687,179.20
  5. Step 5: Solve for x
    x = 108,639,687,179.20/457,801.12
  6. Step 6: Final answer
    x = 237,307.60

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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.