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Finding the Fourth Proportional to 194,442.40, 291,663.60 and 147,203.20

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Solution

The fourth proportional to 194,442.40, 291,663.60 and 147,203.20 is: 220,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,442.40 : 291,663.60 = 147,203.20 : x
  2. Step 2: Convert to fraction form
    194,442.40/291,663.60 = 147,203.20/x
  3. Step 3: Cross multiply
    194,442.40x = 291,663.60 × 147,203.20
  4. Step 4: Simplify right side
    194,442.40x = 42,933,815,243.52
  5. Step 5: Solve for x
    x = 42,933,815,243.52/194,442.40
  6. Step 6: Final answer
    x = 220,804.80

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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.