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Finding the Fourth Proportional to 185,670.40, 278,505.60 and 178,412.80

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Solution

The fourth proportional to 185,670.40, 278,505.60 and 178,412.80 is: 267,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,670.40 : 278,505.60 = 178,412.80 : x
  2. Step 2: Convert to fraction form
    185,670.40/278,505.60 = 178,412.80/x
  3. Step 3: Cross multiply
    185,670.40x = 278,505.60 × 178,412.80
  4. Step 4: Simplify right side
    185,670.40x = 49,688,963,911.68
  5. Step 5: Solve for x
    x = 49,688,963,911.68/185,670.40
  6. Step 6: Final answer
    x = 267,619.20

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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.