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Finding the Fourth Proportional to 423,033.12, 634,608 and 142,630.56

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Solution

The fourth proportional to 423,033.12, 634,608 and 142,630.56 is: 213,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,033.12 : 634,608 = 142,630.56 : x
  2. Step 2: Convert to fraction form
    423,033.12/634,608 = 142,630.56/x
  3. Step 3: Cross multiply
    423,033.12x = 634,608 × 142,630.56
  4. Step 4: Simplify right side
    423,033.12x = 90,514,494,420.48
  5. Step 5: Solve for x
    x = 90,514,494,420.48/423,033.12
  6. Step 6: Final answer
    x = 213,965.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.