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Finding the Fourth Proportional to 415,079.60, 622,619.40 and 377,681.90

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Solution

The fourth proportional to 415,079.60, 622,619.40 and 377,681.90 is: 566,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.60 : 622,619.40 = 377,681.90 : x
  2. Step 2: Convert to fraction form
    415,079.60/622,619.40 = 377,681.90/x
  3. Step 3: Cross multiply
    415,079.60x = 622,619.40 × 377,681.90
  4. Step 4: Simplify right side
    415,079.60x = 235,152,077,968.86
  5. Step 5: Solve for x
    x = 235,152,077,968.86/415,079.60
  6. Step 6: Final answer
    x = 566,522.85

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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.