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Finding the Fourth Proportional to 657,652.49, 986,581.92 and 278,574.32

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Solution

The fourth proportional to 657,652.49, 986,581.92 and 278,574.32 is: 417,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,652.49 : 986,581.92 = 278,574.32 : x
  2. Step 2: Convert to fraction form
    657,652.49/986,581.92 = 278,574.32/x
  3. Step 3: Cross multiply
    657,652.49x = 986,581.92 × 278,574.32
  4. Step 4: Simplify right side
    657,652.49x = 274,836,382,555.39
  5. Step 5: Solve for x
    x = 274,836,382,555.39/657,652.49
  6. Step 6: Final answer
    x = 417,905.18

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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.