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Finding the Fourth Proportional to 611,233.76, 916,642.96 and 211,781.28

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Solution

The fourth proportional to 611,233.76, 916,642.96 and 211,781.28 is: 317,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,233.76 : 916,642.96 = 211,781.28 : x
  2. Step 2: Convert to fraction form
    611,233.76/916,642.96 = 211,781.28/x
  3. Step 3: Cross multiply
    611,233.76x = 916,642.96 × 211,781.28
  4. Step 4: Simplify right side
    611,233.76x = 194,127,819,371.79
  5. Step 5: Solve for x
    x = 194,127,819,371.79/611,233.76
  6. Step 6: Final answer
    x = 317,599.96

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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.