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Finding the Fourth Proportional to 518,523.64, 778,026.04 and 219,074.14

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Solution

The fourth proportional to 518,523.64, 778,026.04 and 219,074.14 is: 328,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,523.64 : 778,026.04 = 219,074.14 : x
  2. Step 2: Convert to fraction form
    518,523.64/778,026.04 = 219,074.14/x
  3. Step 3: Cross multiply
    518,523.64x = 778,026.04 × 219,074.14
  4. Step 4: Simplify right side
    518,523.64x = 170,445,385,610.61
  5. Step 5: Solve for x
    x = 170,445,385,610.61/518,523.64
  6. Step 6: Final answer
    x = 328,712.85

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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.