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Finding the Fourth Proportional to 285,112, 393,448.47 and 156,050.44

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Solution

The fourth proportional to 285,112, 393,448.47 and 156,050.44 is: 215,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,112 : 393,448.47 = 156,050.44 : x
  2. Step 2: Convert to fraction form
    285,112/393,448.47 = 156,050.44/x
  3. Step 3: Cross multiply
    285,112x = 393,448.47 × 156,050.44
  4. Step 4: Simplify right side
    285,112x = 61,397,806,860.83
  5. Step 5: Solve for x
    x = 61,397,806,860.83/285,112
  6. Step 6: Final answer
    x = 215,346.27

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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.