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Finding the Fourth Proportional to 656,715.80, 982,886.70 and 476,288.30

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Solution

The fourth proportional to 656,715.80, 982,886.70 and 476,288.30 is: 712,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,715.80 : 982,886.70 = 476,288.30 : x
  2. Step 2: Convert to fraction form
    656,715.80/982,886.70 = 476,288.30/x
  3. Step 3: Cross multiply
    656,715.80x = 982,886.70 × 476,288.30
  4. Step 4: Simplify right side
    656,715.80x = 468,137,435,435.61
  5. Step 5: Solve for x
    x = 468,137,435,435.61/656,715.80
  6. Step 6: Final answer
    x = 712,846.31

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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.