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Finding the Fourth Proportional to 658,412.58, 987,684.66 and 178,648.02

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Solution

The fourth proportional to 658,412.58, 987,684.66 and 178,648.02 is: 267,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,412.58 : 987,684.66 = 178,648.02 : x
  2. Step 2: Convert to fraction form
    658,412.58/987,684.66 = 178,648.02/x
  3. Step 3: Cross multiply
    658,412.58x = 987,684.66 × 178,648.02
  4. Step 4: Simplify right side
    658,412.58x = 176,447,908,893.37
  5. Step 5: Solve for x
    x = 176,447,908,893.37/658,412.58
  6. Step 6: Final answer
    x = 267,989.88

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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.