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Finding the Fourth Proportional to 657,643.86, 986,568.96 and 278,565.68

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Solution

The fourth proportional to 657,643.86, 986,568.96 and 278,565.68 is: 417,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,643.86 : 986,568.96 = 278,565.68 : x
  2. Step 2: Convert to fraction form
    657,643.86/986,568.96 = 278,565.68/x
  3. Step 3: Cross multiply
    657,643.86x = 986,568.96 × 278,565.68
  4. Step 4: Simplify right side
    657,643.86x = 274,824,256,720.34
  5. Step 5: Solve for x
    x = 274,824,256,720.34/657,643.86
  6. Step 6: Final answer
    x = 417,892.23

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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.