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Finding the Fourth Proportional to 657,642.69, 986,492.70 and 208,396.71

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Solution

The fourth proportional to 657,642.69, 986,492.70 and 208,396.71 is: 312,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,642.69 : 986,492.70 = 208,396.71 : x
  2. Step 2: Convert to fraction form
    657,642.69/986,492.70 = 208,396.71/x
  3. Step 3: Cross multiply
    657,642.69x = 986,492.70 × 208,396.71
  4. Step 4: Simplify right side
    657,642.69x = 205,581,833,119.02
  5. Step 5: Solve for x
    x = 205,581,833,119.02/657,642.69
  6. Step 6: Final answer
    x = 312,604.15

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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.