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Finding the Fourth Proportional to 657,471.10, 986,519.02 and 455,378.22

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Solution

The fourth proportional to 657,471.10, 986,519.02 and 455,378.22 is: 683,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,471.10 : 986,519.02 = 455,378.22 : x
  2. Step 2: Convert to fraction form
    657,471.10/986,519.02 = 455,378.22/x
  3. Step 3: Cross multiply
    657,471.10x = 986,519.02 × 455,378.22
  4. Step 4: Simplify right side
    657,471.10x = 449,239,275,323.74
  5. Step 5: Solve for x
    x = 449,239,275,323.74/657,471.10
  6. Step 6: Final answer
    x = 683,283.68

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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.