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Finding the Fourth Proportional to 521,018.80, 781,333.80 and 205,410.40

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Solution

The fourth proportional to 521,018.80, 781,333.80 and 205,410.40 is: 308,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,018.80 : 781,333.80 = 205,410.40 : x
  2. Step 2: Convert to fraction form
    521,018.80/781,333.80 = 205,410.40/x
  3. Step 3: Cross multiply
    521,018.80x = 781,333.80 × 205,410.40
  4. Step 4: Simplify right side
    521,018.80x = 160,494,088,391.52
  5. Step 5: Solve for x
    x = 160,494,088,391.52/521,018.80
  6. Step 6: Final answer
    x = 308,038.96

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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.