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Finding the Fourth Proportional to 658,840, 988,172.64 and 185,562.56

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Solution

The fourth proportional to 658,840, 988,172.64 and 185,562.56 is: 278,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,840 : 988,172.64 = 185,562.56 : x
  2. Step 2: Convert to fraction form
    658,840/988,172.64 = 185,562.56/x
  3. Step 3: Cross multiply
    658,840x = 988,172.64 × 185,562.56
  4. Step 4: Simplify right side
    658,840x = 183,367,844,800.36
  5. Step 5: Solve for x
    x = 183,367,844,800.36/658,840
  6. Step 6: Final answer
    x = 278,319.24

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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.