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Finding the Fourth Proportional to 657,856.76, 986,820.12 and 208,613.07

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Solution

The fourth proportional to 657,856.76, 986,820.12 and 208,613.07 is: 312,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,856.76 : 986,820.12 = 208,613.07 : x
  2. Step 2: Convert to fraction form
    657,856.76/986,820.12 = 208,613.07/x
  3. Step 3: Cross multiply
    657,856.76x = 986,820.12 × 208,613.07
  4. Step 4: Simplify right side
    657,856.76x = 205,863,574,770.97
  5. Step 5: Solve for x
    x = 205,863,574,770.97/657,856.76
  6. Step 6: Final answer
    x = 312,930.70

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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.