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Finding the Fourth Proportional to 228,034.32, 314,689.32 and 127,438.80

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Solution

The fourth proportional to 228,034.32, 314,689.32 and 127,438.80 is: 175,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,034.32 : 314,689.32 = 127,438.80 : x
  2. Step 2: Convert to fraction form
    228,034.32/314,689.32 = 127,438.80/x
  3. Step 3: Cross multiply
    228,034.32x = 314,689.32 × 127,438.80
  4. Step 4: Simplify right side
    228,034.32x = 40,103,629,313.62
  5. Step 5: Solve for x
    x = 40,103,629,313.62/228,034.32
  6. Step 6: Final answer
    x = 175,866.64

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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.