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Finding the Fourth Proportional to 457,807.80, 687,003.30 and 268,267.80

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Solution

The fourth proportional to 457,807.80, 687,003.30 and 268,267.80 is: 402,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,807.80 : 687,003.30 = 268,267.80 : x
  2. Step 2: Convert to fraction form
    457,807.80/687,003.30 = 268,267.80/x
  3. Step 3: Cross multiply
    457,807.80x = 687,003.30 × 268,267.80
  4. Step 4: Simplify right side
    457,807.80x = 184,300,863,883.74
  5. Step 5: Solve for x
    x = 184,300,863,883.74/457,807.80
  6. Step 6: Final answer
    x = 402,572.57

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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.