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Finding the Fourth Proportional to 457,805.80, 687,000.30 and 268,265.80

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Solution

The fourth proportional to 457,805.80, 687,000.30 and 268,265.80 is: 402,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.80 : 687,000.30 = 268,265.80 : x
  2. Step 2: Convert to fraction form
    457,805.80/687,000.30 = 268,265.80/x
  3. Step 3: Cross multiply
    457,805.80x = 687,000.30 × 268,265.80
  4. Step 4: Simplify right side
    457,805.80x = 184,298,685,079.74
  5. Step 5: Solve for x
    x = 184,298,685,079.74/457,805.80
  6. Step 6: Final answer
    x = 402,569.57

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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.