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Finding the Fourth Proportional to 645,947.87, 974,989.10 and 645,947.87

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Solution

The fourth proportional to 645,947.87, 974,989.10 and 645,947.87 is: 974,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,947.87 : 974,989.10 = 645,947.87 : x
  2. Step 2: Convert to fraction form
    645,947.87/974,989.10 = 645,947.87/x
  3. Step 3: Cross multiply
    645,947.87x = 974,989.10 × 645,947.87
  4. Step 4: Simplify right side
    645,947.87x = 629,792,129,158.14
  5. Step 5: Solve for x
    x = 629,792,129,158.14/645,947.87
  6. Step 6: Final answer
    x = 974,989.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.