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Finding the Fourth Proportional to 210,821.40, 316,404.90 and 203,909.40

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Solution

The fourth proportional to 210,821.40, 316,404.90 and 203,909.40 is: 306,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821.40 : 316,404.90 = 203,909.40 : x
  2. Step 2: Convert to fraction form
    210,821.40/316,404.90 = 203,909.40/x
  3. Step 3: Cross multiply
    210,821.40x = 316,404.90 × 203,909.40
  4. Step 4: Simplify right side
    210,821.40x = 64,517,933,316.06
  5. Step 5: Solve for x
    x = 64,517,933,316.06/210,821.40
  6. Step 6: Final answer
    x = 306,031.23

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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.