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Finding the Fourth Proportional to 519,949.80, 780,143.40 and 283,462.20

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Solution

The fourth proportional to 519,949.80, 780,143.40 and 283,462.20 is: 425,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,949.80 : 780,143.40 = 283,462.20 : x
  2. Step 2: Convert to fraction form
    519,949.80/780,143.40 = 283,462.20/x
  3. Step 3: Cross multiply
    519,949.80x = 780,143.40 × 283,462.20
  4. Step 4: Simplify right side
    519,949.80x = 221,141,164,479.48
  5. Step 5: Solve for x
    x = 221,141,164,479.48/519,949.80
  6. Step 6: Final answer
    x = 425,312.53

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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.