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Finding the Fourth Proportional to 457,509.96, 686,266.68 and 255,230.64

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Solution

The fourth proportional to 457,509.96, 686,266.68 and 255,230.64 is: 382,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,509.96 : 686,266.68 = 255,230.64 : x
  2. Step 2: Convert to fraction form
    457,509.96/686,266.68 = 255,230.64/x
  3. Step 3: Cross multiply
    457,509.96x = 686,266.68 × 255,230.64
  4. Step 4: Simplify right side
    457,509.96x = 175,156,283,947.08
  5. Step 5: Solve for x
    x = 175,156,283,947.08/457,509.96
  6. Step 6: Final answer
    x = 382,846.93

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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.