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Finding the Fourth Proportional to 312,642.24, 468,972 and 194,654.40

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Solution

The fourth proportional to 312,642.24, 468,972 and 194,654.40 is: 291,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,642.24 : 468,972 = 194,654.40 : x
  2. Step 2: Convert to fraction form
    312,642.24/468,972 = 194,654.40/x
  3. Step 3: Cross multiply
    312,642.24x = 468,972 × 194,654.40
  4. Step 4: Simplify right side
    312,642.24x = 91,287,463,276.80
  5. Step 5: Solve for x
    x = 91,287,463,276.80/312,642.24
  6. Step 6: Final answer
    x = 291,986.98

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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.