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Finding the Fourth Proportional to 498,455.64, 747,801.32 and 161,495.75

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Solution

The fourth proportional to 498,455.64, 747,801.32 and 161,495.75 is: 242,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,455.64 : 747,801.32 = 161,495.75 : x
  2. Step 2: Convert to fraction form
    498,455.64/747,801.32 = 161,495.75/x
  3. Step 3: Cross multiply
    498,455.64x = 747,801.32 × 161,495.75
  4. Step 4: Simplify right side
    498,455.64x = 120,766,730,477.91
  5. Step 5: Solve for x
    x = 120,766,730,477.91/498,455.64
  6. Step 6: Final answer
    x = 242,281.80

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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.