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Finding the Fourth Proportional to 423,548.60, 584,527.76 and 280,059.80

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Solution

The fourth proportional to 423,548.60, 584,527.76 and 280,059.80 is: 386,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,548.60 : 584,527.76 = 280,059.80 : x
  2. Step 2: Convert to fraction form
    423,548.60/584,527.76 = 280,059.80/x
  3. Step 3: Cross multiply
    423,548.60x = 584,527.76 × 280,059.80
  4. Step 4: Simplify right side
    423,548.60x = 163,702,727,560.05
  5. Step 5: Solve for x
    x = 163,702,727,560.05/423,548.60
  6. Step 6: Final answer
    x = 386,502.82

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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.