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Finding the Fourth Proportional to 428,332.74, 591,098.98 and 256,257.98

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Solution

The fourth proportional to 428,332.74, 591,098.98 and 256,257.98 is: 353,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,332.74 : 591,098.98 = 256,257.98 : x
  2. Step 2: Convert to fraction form
    428,332.74/591,098.98 = 256,257.98/x
  3. Step 3: Cross multiply
    428,332.74x = 591,098.98 × 256,257.98
  4. Step 4: Simplify right side
    428,332.74x = 151,473,830,594.86
  5. Step 5: Solve for x
    x = 151,473,830,594.86/428,332.74
  6. Step 6: Final answer
    x = 353,635.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.