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Finding the Fourth Proportional to 657,643.74, 986,494.32 and 208,397.72

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Solution

The fourth proportional to 657,643.74, 986,494.32 and 208,397.72 is: 312,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,643.74 : 986,494.32 = 208,397.72 : x
  2. Step 2: Convert to fraction form
    657,643.74/986,494.32 = 208,397.72/x
  3. Step 3: Cross multiply
    657,643.74x = 986,494.32 × 208,397.72
  4. Step 4: Simplify right side
    657,643.74x = 205,583,167,080.95
  5. Step 5: Solve for x
    x = 205,583,167,080.95/657,643.74
  6. Step 6: Final answer
    x = 312,605.68

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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.