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Finding the Fourth Proportional to 230,778.40, 318,474.35 and 127,412.68

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Solution

The fourth proportional to 230,778.40, 318,474.35 and 127,412.68 is: 175,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,778.40 : 318,474.35 = 127,412.68 : x
  2. Step 2: Convert to fraction form
    230,778.40/318,474.35 = 127,412.68/x
  3. Step 3: Cross multiply
    230,778.40x = 318,474.35 × 127,412.68
  4. Step 4: Simplify right side
    230,778.40x = 40,577,669,807.69
  5. Step 5: Solve for x
    x = 40,577,669,807.69/230,778.40
  6. Step 6: Final answer
    x = 175,829.58

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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.