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Finding the Fourth Proportional to 280,852.92, 387,482.40 and 159,908.65

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Solution

The fourth proportional to 280,852.92, 387,482.40 and 159,908.65 is: 220,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,852.92 : 387,482.40 = 159,908.65 : x
  2. Step 2: Convert to fraction form
    280,852.92/387,482.40 = 159,908.65/x
  3. Step 3: Cross multiply
    280,852.92x = 387,482.40 × 159,908.65
  4. Step 4: Simplify right side
    280,852.92x = 61,961,786,514.05
  5. Step 5: Solve for x
    x = 61,961,786,514.05/280,852.92
  6. Step 6: Final answer
    x = 220,620.05

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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.