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Finding the Fourth Proportional to 520,705.28, 781,501.70 and 205,383.62

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Solution

The fourth proportional to 520,705.28, 781,501.70 and 205,383.62 is: 308,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,705.28 : 781,501.70 = 205,383.62 : x
  2. Step 2: Convert to fraction form
    520,705.28/781,501.70 = 205,383.62/x
  3. Step 3: Cross multiply
    520,705.28x = 781,501.70 × 205,383.62
  4. Step 4: Simplify right side
    520,705.28x = 160,507,650,649.37
  5. Step 5: Solve for x
    x = 160,507,650,649.37/520,705.28
  6. Step 6: Final answer
    x = 308,250.47

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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.