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Finding the Fourth Proportional to 229,809.90, 317,008.12 and 137,905.40

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Solution

The fourth proportional to 229,809.90, 317,008.12 and 137,905.40 is: 190,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,809.90 : 317,008.12 = 137,905.40 : x
  2. Step 2: Convert to fraction form
    229,809.90/317,008.12 = 137,905.40/x
  3. Step 3: Cross multiply
    229,809.90x = 317,008.12 × 137,905.40
  4. Step 4: Simplify right side
    229,809.90x = 43,717,131,591.85
  5. Step 5: Solve for x
    x = 43,717,131,591.85/229,809.90
  6. Step 6: Final answer
    x = 190,231.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.