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Finding the Fourth Proportional to 708,041.70, 978,340.41 and 565,974.18

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Solution

The fourth proportional to 708,041.70, 978,340.41 and 565,974.18 is: 782,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,041.70 : 978,340.41 = 565,974.18 : x
  2. Step 2: Convert to fraction form
    708,041.70/978,340.41 = 565,974.18/x
  3. Step 3: Cross multiply
    708,041.70x = 978,340.41 × 565,974.18
  4. Step 4: Simplify right side
    708,041.70x = 553,715,411,310.61
  5. Step 5: Solve for x
    x = 553,715,411,310.61/708,041.70
  6. Step 6: Final answer
    x = 782,037.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.