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Finding the Fourth Proportional to 521,045.40, 781,159.80 and 205,738.32

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Solution

The fourth proportional to 521,045.40, 781,159.80 and 205,738.32 is: 308,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,045.40 : 781,159.80 = 205,738.32 : x
  2. Step 2: Convert to fraction form
    521,045.40/781,159.80 = 205,738.32/x
  3. Step 3: Cross multiply
    521,045.40x = 781,159.80 × 205,738.32
  4. Step 4: Simplify right side
    521,045.40x = 160,714,504,903.54
  5. Step 5: Solve for x
    x = 160,714,504,903.54/521,045.40
  6. Step 6: Final answer
    x = 308,446.26

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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.