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Finding the Fourth Proportional to 518,981, 778,820.88 and 182,024.78

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Solution

The fourth proportional to 518,981, 778,820.88 and 182,024.78 is: 273,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,981 : 778,820.88 = 182,024.78 : x
  2. Step 2: Convert to fraction form
    518,981/778,820.88 = 182,024.78/x
  3. Step 3: Cross multiply
    518,981x = 778,820.88 × 182,024.78
  4. Step 4: Simplify right side
    518,981x = 141,764,699,341.41
  5. Step 5: Solve for x
    x = 141,764,699,341.41/518,981
  6. Step 6: Final answer
    x = 273,159.71

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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.