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Finding the Fourth Proportional to 657,633.32, 986,478.69 and 208,387.29

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Solution

The fourth proportional to 657,633.32, 986,478.69 and 208,387.29 is: 312,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,633.32 : 986,478.69 = 208,387.29 : x
  2. Step 2: Convert to fraction form
    657,633.32/986,478.69 = 208,387.29/x
  3. Step 3: Cross multiply
    657,633.32x = 986,478.69 × 208,387.29
  4. Step 4: Simplify right side
    657,633.32x = 205,569,620,851.85
  5. Step 5: Solve for x
    x = 205,569,620,851.85/657,633.32
  6. Step 6: Final answer
    x = 312,590.03

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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.