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Finding the Fourth Proportional to 657,633.44, 986,478.87 and 208,387.42

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Solution

The fourth proportional to 657,633.44, 986,478.87 and 208,387.42 is: 312,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,633.44 : 986,478.87 = 208,387.42 : x
  2. Step 2: Convert to fraction form
    657,633.44/986,478.87 = 208,387.42/x
  3. Step 3: Cross multiply
    657,633.44x = 986,478.87 × 208,387.42
  4. Step 4: Simplify right side
    657,633.44x = 205,569,786,603.82
  5. Step 5: Solve for x
    x = 205,569,786,603.82/657,633.44
  6. Step 6: Final answer
    x = 312,590.23

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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.