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Finding the Fourth Proportional to 280,879.68, 387,569.16 and 160,023.36

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Solution

The fourth proportional to 280,879.68, 387,569.16 and 160,023.36 is: 220,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,879.68 : 387,569.16 = 160,023.36 : x
  2. Step 2: Convert to fraction form
    280,879.68/387,569.16 = 160,023.36/x
  3. Step 3: Cross multiply
    280,879.68x = 387,569.16 × 160,023.36
  4. Step 4: Simplify right side
    280,879.68x = 62,020,119,215.58
  5. Step 5: Solve for x
    x = 62,020,119,215.58/280,879.68
  6. Step 6: Final answer
    x = 220,806.71

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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.