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Finding the Fourth Proportional to 457,355.58, 686,455 and 232,877.86

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Solution

The fourth proportional to 457,355.58, 686,455 and 232,877.86 is: 349,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,355.58 : 686,455 = 232,877.86 : x
  2. Step 2: Convert to fraction form
    457,355.58/686,455 = 232,877.86/x
  3. Step 3: Cross multiply
    457,355.58x = 686,455 × 232,877.86
  4. Step 4: Simplify right side
    457,355.58x = 159,860,171,386.30
  5. Step 5: Solve for x
    x = 159,860,171,386.30/457,355.58
  6. Step 6: Final answer
    x = 349,531.48

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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.