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Finding the Fourth Proportional to 461,279.25, 692,035.52 and 128,855.25

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Solution

The fourth proportional to 461,279.25, 692,035.52 and 128,855.25 is: 193,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,279.25 : 692,035.52 = 128,855.25 : x
  2. Step 2: Convert to fraction form
    461,279.25/692,035.52 = 128,855.25/x
  3. Step 3: Cross multiply
    461,279.25x = 692,035.52 × 128,855.25
  4. Step 4: Simplify right side
    461,279.25x = 89,172,409,294.20
  5. Step 5: Solve for x
    x = 89,172,409,294.20/461,279.25
  6. Step 6: Final answer
    x = 193,315.46

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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.