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Finding the Fourth Proportional to 454,074.86, 681,110.40 and 138,530.72

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Solution

The fourth proportional to 454,074.86, 681,110.40 and 138,530.72 is: 207,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,074.86 : 681,110.40 = 138,530.72 : x
  2. Step 2: Convert to fraction form
    454,074.86/681,110.40 = 138,530.72/x
  3. Step 3: Cross multiply
    454,074.86x = 681,110.40 × 138,530.72
  4. Step 4: Simplify right side
    454,074.86x = 94,354,714,111.49
  5. Step 5: Solve for x
    x = 94,354,714,111.49/454,074.86
  6. Step 6: Final answer
    x = 207,795.50

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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.