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Finding the Fourth Proportional to 435,774.38, 653,686.16 and 155,291.63

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Solution

The fourth proportional to 435,774.38, 653,686.16 and 155,291.63 is: 232,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,774.38 : 653,686.16 = 155,291.63 : x
  2. Step 2: Convert to fraction form
    435,774.38/653,686.16 = 155,291.63/x
  3. Step 3: Cross multiply
    435,774.38x = 653,686.16 × 155,291.63
  4. Step 4: Simplify right side
    435,774.38x = 101,511,985,249.95
  5. Step 5: Solve for x
    x = 101,511,985,249.95/435,774.38
  6. Step 6: Final answer
    x = 232,946.20

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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.