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Finding the Fourth Proportional to 457,785.80, 686,970.30 and 268,245.80

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Solution

The fourth proportional to 457,785.80, 686,970.30 and 268,245.80 is: 402,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,785.80 : 686,970.30 = 268,245.80 : x
  2. Step 2: Convert to fraction form
    457,785.80/686,970.30 = 268,245.80/x
  3. Step 3: Cross multiply
    457,785.80x = 686,970.30 × 268,245.80
  4. Step 4: Simplify right side
    457,785.80x = 184,276,897,699.74
  5. Step 5: Solve for x
    x = 184,276,897,699.74/457,785.80
  6. Step 6: Final answer
    x = 402,539.57

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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.