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Finding the Fourth Proportional to 457,368.61, 686,681.34 and 232,879.90

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Solution

The fourth proportional to 457,368.61, 686,681.34 and 232,879.90 is: 349,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,368.61 : 686,681.34 = 232,879.90 : x
  2. Step 2: Convert to fraction form
    457,368.61/686,681.34 = 232,879.90/x
  3. Step 3: Cross multiply
    457,368.61x = 686,681.34 × 232,879.90
  4. Step 4: Simplify right side
    457,368.61x = 159,914,281,791.07
  5. Step 5: Solve for x
    x = 159,914,281,791.07/457,368.61
  6. Step 6: Final answer
    x = 349,639.83

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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.