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Finding the Fourth Proportional to 657,342, 986,160.68 and 208,089.80

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Solution

The fourth proportional to 657,342, 986,160.68 and 208,089.80 is: 312,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,342 : 986,160.68 = 208,089.80 : x
  2. Step 2: Convert to fraction form
    657,342/986,160.68 = 208,089.80/x
  3. Step 3: Cross multiply
    657,342x = 986,160.68 × 208,089.80
  4. Step 4: Simplify right side
    657,342x = 205,209,978,669.06
  5. Step 5: Solve for x
    x = 205,209,978,669.06/657,342
  6. Step 6: Final answer
    x = 312,181.45

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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.