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Finding the Fourth Proportional to 295,646.81, 407,992.47 and 159,680.71

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Solution

The fourth proportional to 295,646.81, 407,992.47 and 159,680.71 is: 220,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,646.81 : 407,992.47 = 159,680.71 : x
  2. Step 2: Convert to fraction form
    295,646.81/407,992.47 = 159,680.71/x
  3. Step 3: Cross multiply
    295,646.81x = 407,992.47 × 159,680.71
  4. Step 4: Simplify right side
    295,646.81x = 65,148,525,244.29
  5. Step 5: Solve for x
    x = 65,148,525,244.29/295,646.81
  6. Step 6: Final answer
    x = 220,359.30

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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.