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Finding the Fourth Proportional to 285,255.23, 393,678.62 and 157,930.82

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Solution

The fourth proportional to 285,255.23, 393,678.62 and 157,930.82 is: 217,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,255.23 : 393,678.62 = 157,930.82 : x
  2. Step 2: Convert to fraction form
    285,255.23/393,678.62 = 157,930.82/x
  3. Step 3: Cross multiply
    285,255.23x = 393,678.62 × 157,930.82
  4. Step 4: Simplify right side
    285,255.23x = 62,173,984,515.02
  5. Step 5: Solve for x
    x = 62,173,984,515.02/285,255.23
  6. Step 6: Final answer
    x = 217,959.14

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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.