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Finding the Fourth Proportional to 280,878.68, 387,567.78 and 160,022.36

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Solution

The fourth proportional to 280,878.68, 387,567.78 and 160,022.36 is: 220,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,878.68 : 387,567.78 = 160,022.36 : x
  2. Step 2: Convert to fraction form
    280,878.68/387,567.78 = 160,022.36/x
  3. Step 3: Cross multiply
    280,878.68x = 387,567.78 × 160,022.36
  4. Step 4: Simplify right side
    280,878.68x = 62,019,510,815.56
  5. Step 5: Solve for x
    x = 62,019,510,815.56/280,878.68
  6. Step 6: Final answer
    x = 220,805.33

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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.