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Finding the Fourth Proportional to 331,368.60, 497,198.70 and 153,784.20

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Solution

The fourth proportional to 331,368.60, 497,198.70 and 153,784.20 is: 230,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,368.60 : 497,198.70 = 153,784.20 : x
  2. Step 2: Convert to fraction form
    331,368.60/497,198.70 = 153,784.20/x
  3. Step 3: Cross multiply
    331,368.60x = 497,198.70 × 153,784.20
  4. Step 4: Simplify right side
    331,368.60x = 76,461,304,320.54
  5. Step 5: Solve for x
    x = 76,461,304,320.54/331,368.60
  6. Step 6: Final answer
    x = 230,743.96

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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.