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Finding the Fourth Proportional to 380,249.90, 570,158.88 and 155,347.02

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Solution

The fourth proportional to 380,249.90, 570,158.88 and 155,347.02 is: 232,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,249.90 : 570,158.88 = 155,347.02 : x
  2. Step 2: Convert to fraction form
    380,249.90/570,158.88 = 155,347.02/x
  3. Step 3: Cross multiply
    380,249.90x = 570,158.88 × 155,347.02
  4. Step 4: Simplify right side
    380,249.90x = 88,572,482,934.54
  5. Step 5: Solve for x
    x = 88,572,482,934.54/380,249.90
  6. Step 6: Final answer
    x = 232,932.30

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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.