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Finding the Fourth Proportional to 657,643.72, 986,494.23 and 208,397.68

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Solution

The fourth proportional to 657,643.72, 986,494.23 and 208,397.68 is: 312,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,643.72 : 986,494.23 = 208,397.68 : x
  2. Step 2: Convert to fraction form
    657,643.72/986,494.23 = 208,397.68/x
  3. Step 3: Cross multiply
    657,643.72x = 986,494.23 × 208,397.68
  4. Step 4: Simplify right side
    657,643.72x = 205,583,108,865.39
  5. Step 5: Solve for x
    x = 205,583,108,865.39/657,643.72
  6. Step 6: Final answer
    x = 312,605.60

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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.