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Finding the Fourth Proportional to 210,729.40, 316,094.10 and 209,417.20

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Solution

The fourth proportional to 210,729.40, 316,094.10 and 209,417.20 is: 314,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.40 : 316,094.10 = 209,417.20 : x
  2. Step 2: Convert to fraction form
    210,729.40/316,094.10 = 209,417.20/x
  3. Step 3: Cross multiply
    210,729.40x = 316,094.10 × 209,417.20
  4. Step 4: Simplify right side
    210,729.40x = 66,195,541,358.52
  5. Step 5: Solve for x
    x = 66,195,541,358.52/210,729.40
  6. Step 6: Final answer
    x = 314,125.80

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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.