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Finding the Fourth Proportional to 519,031.13, 778,659.53 and 159,203.40

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Solution

The fourth proportional to 519,031.13, 778,659.53 and 159,203.40 is: 238,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,031.13 : 778,659.53 = 159,203.40 : x
  2. Step 2: Convert to fraction form
    519,031.13/778,659.53 = 159,203.40/x
  3. Step 3: Cross multiply
    519,031.13x = 778,659.53 × 159,203.40
  4. Step 4: Simplify right side
    519,031.13x = 123,965,243,822.39
  5. Step 5: Solve for x
    x = 123,965,243,822.39/519,031.13
  6. Step 6: Final answer
    x = 238,839.71

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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.