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Finding the Fourth Proportional to 657,967.11, 986,945.61 and 268,471.98

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Solution

The fourth proportional to 657,967.11, 986,945.61 and 268,471.98 is: 402,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,967.11 : 986,945.61 = 268,471.98 : x
  2. Step 2: Convert to fraction form
    657,967.11/986,945.61 = 268,471.98/x
  3. Step 3: Cross multiply
    657,967.11x = 986,945.61 × 268,471.98
  4. Step 4: Simplify right side
    657,967.11x = 264,967,242,069.01
  5. Step 5: Solve for x
    x = 264,967,242,069.01/657,967.11
  6. Step 6: Final answer
    x = 402,705.91

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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.