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Finding the Fourth Proportional to 316,081.40, 474,122.10 and 209,793.20

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Solution

The fourth proportional to 316,081.40, 474,122.10 and 209,793.20 is: 314,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,081.40 : 474,122.10 = 209,793.20 : x
  2. Step 2: Convert to fraction form
    316,081.40/474,122.10 = 209,793.20/x
  3. Step 3: Cross multiply
    316,081.40x = 474,122.10 × 209,793.20
  4. Step 4: Simplify right side
    316,081.40x = 99,467,592,549.72
  5. Step 5: Solve for x
    x = 99,467,592,549.72/316,081.40
  6. Step 6: Final answer
    x = 314,689.80

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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.