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Finding the Fourth Proportional to 457,967.80, 686,951.70 and 339,869.80

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Solution

The fourth proportional to 457,967.80, 686,951.70 and 339,869.80 is: 509,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,967.80 : 686,951.70 = 339,869.80 : x
  2. Step 2: Convert to fraction form
    457,967.80/686,951.70 = 339,869.80/x
  3. Step 3: Cross multiply
    457,967.80x = 686,951.70 × 339,869.80
  4. Step 4: Simplify right side
    457,967.80x = 233,474,136,888.66
  5. Step 5: Solve for x
    x = 233,474,136,888.66/457,967.80
  6. Step 6: Final answer
    x = 509,804.70

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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.