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Finding the Fourth Proportional to 460,494, 690,779.88 and 128,070

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Solution

The fourth proportional to 460,494, 690,779.88 and 128,070 is: 192,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,494 : 690,779.88 = 128,070 : x
  2. Step 2: Convert to fraction form
    460,494/690,779.88 = 128,070/x
  3. Step 3: Cross multiply
    460,494x = 690,779.88 × 128,070
  4. Step 4: Simplify right side
    460,494x = 88,468,179,231.60
  5. Step 5: Solve for x
    x = 88,468,179,231.60/460,494
  6. Step 6: Final answer
    x = 192,115.81

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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.