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Finding the Fourth Proportional to 302,448.96, 416,680.80 and 217,418.88

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Solution

The fourth proportional to 302,448.96, 416,680.80 and 217,418.88 is: 299,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,448.96 : 416,680.80 = 217,418.88 : x
  2. Step 2: Convert to fraction form
    302,448.96/416,680.80 = 217,418.88/x
  3. Step 3: Cross multiply
    302,448.96x = 416,680.80 × 217,418.88
  4. Step 4: Simplify right side
    302,448.96x = 90,594,272,853.50
  5. Step 5: Solve for x
    x = 90,594,272,853.50/302,448.96
  6. Step 6: Final answer
    x = 299,535.74

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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.