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Finding the Fourth Proportional to 657,645.86, 986,571.96 and 278,567.68

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Solution

The fourth proportional to 657,645.86, 986,571.96 and 278,567.68 is: 417,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,645.86 : 986,571.96 = 278,567.68 : x
  2. Step 2: Convert to fraction form
    657,645.86/986,571.96 = 278,567.68/x
  3. Step 3: Cross multiply
    657,645.86x = 986,571.96 × 278,567.68
  4. Step 4: Simplify right side
    657,645.86x = 274,827,062,050.25
  5. Step 5: Solve for x
    x = 274,827,062,050.25/657,645.86
  6. Step 6: Final answer
    x = 417,895.22

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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.