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Finding the Fourth Proportional to 295,646.31, 407,991.78 and 159,680.21

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Solution

The fourth proportional to 295,646.31, 407,991.78 and 159,680.21 is: 220,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,646.31 : 407,991.78 = 159,680.21 : x
  2. Step 2: Convert to fraction form
    295,646.31/407,991.78 = 159,680.21/x
  3. Step 3: Cross multiply
    295,646.31x = 407,991.78 × 159,680.21
  4. Step 4: Simplify right side
    295,646.31x = 65,148,211,068.71
  5. Step 5: Solve for x
    x = 65,148,211,068.71/295,646.31
  6. Step 6: Final answer
    x = 220,358.61

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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.