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Finding the Fourth Proportional to 518,255.47, 777,493.91 and 181,307.11

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Solution

The fourth proportional to 518,255.47, 777,493.91 and 181,307.11 is: 271,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,255.47 : 777,493.91 = 181,307.11 : x
  2. Step 2: Convert to fraction form
    518,255.47/777,493.91 = 181,307.11/x
  3. Step 3: Cross multiply
    518,255.47x = 777,493.91 × 181,307.11
  4. Step 4: Simplify right side
    518,255.47x = 140,965,173,864.70
  5. Step 5: Solve for x
    x = 140,965,173,864.70/518,255.47
  6. Step 6: Final answer
    x = 271,999.40

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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.