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Finding the Fourth Proportional to 288,547.40, 398,193.14 and 161,221.64

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Solution

The fourth proportional to 288,547.40, 398,193.14 and 161,221.64 is: 222,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,547.40 : 398,193.14 = 161,221.64 : x
  2. Step 2: Convert to fraction form
    288,547.40/398,193.14 = 161,221.64/x
  3. Step 3: Cross multiply
    288,547.40x = 398,193.14 × 161,221.64
  4. Step 4: Simplify right side
    288,547.40x = 64,197,351,067.55
  5. Step 5: Solve for x
    x = 64,197,351,067.55/288,547.40
  6. Step 6: Final answer
    x = 222,484.59

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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.