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Finding the Fourth Proportional to 210,830.40, 316,418.40 and 203,918.40

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Solution

The fourth proportional to 210,830.40, 316,418.40 and 203,918.40 is: 306,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,830.40 : 316,418.40 = 203,918.40 : x
  2. Step 2: Convert to fraction form
    210,830.40/316,418.40 = 203,918.40/x
  3. Step 3: Cross multiply
    210,830.40x = 316,418.40 × 203,918.40
  4. Step 4: Simplify right side
    210,830.40x = 64,523,533,858.56
  5. Step 5: Solve for x
    x = 64,523,533,858.56/210,830.40
  6. Step 6: Final answer
    x = 306,044.73

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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.