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Finding the Fourth Proportional to 520,721.64, 781,526.25 and 205,399.98

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Solution

The fourth proportional to 520,721.64, 781,526.25 and 205,399.98 is: 308,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,721.64 : 781,526.25 = 205,399.98 : x
  2. Step 2: Convert to fraction form
    520,721.64/781,526.25 = 205,399.98/x
  3. Step 3: Cross multiply
    520,721.64x = 781,526.25 × 205,399.98
  4. Step 4: Simplify right side
    520,721.64x = 160,525,476,119.48
  5. Step 5: Solve for x
    x = 160,525,476,119.48/520,721.64
  6. Step 6: Final answer
    x = 308,275.02

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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.