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Finding the Fourth Proportional to 656,704.80, 982,870.20 and 476,277.30

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Solution

The fourth proportional to 656,704.80, 982,870.20 and 476,277.30 is: 712,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,704.80 : 982,870.20 = 476,277.30 : x
  2. Step 2: Convert to fraction form
    656,704.80/982,870.20 = 476,277.30/x
  3. Step 3: Cross multiply
    656,704.80x = 982,870.20 × 476,277.30
  4. Step 4: Simplify right side
    656,704.80x = 468,118,765,106.46
  5. Step 5: Solve for x
    x = 468,118,765,106.46/656,704.80
  6. Step 6: Final answer
    x = 712,829.82

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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.