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Finding the Fourth Proportional to 268,570.80, 402,856.20 and 81,582.30

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Solution

The fourth proportional to 268,570.80, 402,856.20 and 81,582.30 is: 122,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,570.80 : 402,856.20 = 81,582.30 : x
  2. Step 2: Convert to fraction form
    268,570.80/402,856.20 = 81,582.30/x
  3. Step 3: Cross multiply
    268,570.80x = 402,856.20 × 81,582.30
  4. Step 4: Simplify right side
    268,570.80x = 32,865,935,365.26
  5. Step 5: Solve for x
    x = 32,865,935,365.26/268,570.80
  6. Step 6: Final answer
    x = 122,373.45

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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.