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Finding the Fourth Proportional to 288,495.72, 398,116.30 and 157,668.20

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Solution

The fourth proportional to 288,495.72, 398,116.30 and 157,668.20 is: 217,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,495.72 : 398,116.30 = 157,668.20 : x
  2. Step 2: Convert to fraction form
    288,495.72/398,116.30 = 157,668.20/x
  3. Step 3: Cross multiply
    288,495.72x = 398,116.30 × 157,668.20
  4. Step 4: Simplify right side
    288,495.72x = 62,770,280,411.66
  5. Step 5: Solve for x
    x = 62,770,280,411.66/288,495.72
  6. Step 6: Final answer
    x = 217,577.86

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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.