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Finding the Fourth Proportional to 657,594.71, 986,308.89 and 208,361.15

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Solution

The fourth proportional to 657,594.71, 986,308.89 and 208,361.15 is: 312,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,594.71 : 986,308.89 = 208,361.15 : x
  2. Step 2: Convert to fraction form
    657,594.71/986,308.89 = 208,361.15/x
  3. Step 3: Cross multiply
    657,594.71x = 986,308.89 × 208,361.15
  4. Step 4: Simplify right side
    657,594.71x = 205,508,449,644.08
  5. Step 5: Solve for x
    x = 205,508,449,644.08/657,594.71
  6. Step 6: Final answer
    x = 312,515.37

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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.