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Finding the Fourth Proportional to 280,354.83, 386,876.14 and 159,484.74

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Solution

The fourth proportional to 280,354.83, 386,876.14 and 159,484.74 is: 220,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,354.83 : 386,876.14 = 159,484.74 : x
  2. Step 2: Convert to fraction form
    280,354.83/386,876.14 = 159,484.74/x
  3. Step 3: Cross multiply
    280,354.83x = 386,876.14 × 159,484.74
  4. Step 4: Simplify right side
    280,354.83x = 61,700,840,600.10
  5. Step 5: Solve for x
    x = 61,700,840,600.10/280,354.83
  6. Step 6: Final answer
    x = 220,081.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.