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Finding the Fourth Proportional to 657,746, 986,651.40 and 214,514

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Solution

The fourth proportional to 657,746, 986,651.40 and 214,514 is: 321,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,746 : 986,651.40 = 214,514 : x
  2. Step 2: Convert to fraction form
    657,746/986,651.40 = 214,514/x
  3. Step 3: Cross multiply
    657,746x = 986,651.40 × 214,514
  4. Step 4: Simplify right side
    657,746x = 211,650,538,419.60
  5. Step 5: Solve for x
    x = 211,650,538,419.60/657,746
  6. Step 6: Final answer
    x = 321,781.57

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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.