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Finding the Fourth Proportional to 230,463.32, 318,042.78 and 128,485.76

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Solution

The fourth proportional to 230,463.32, 318,042.78 and 128,485.76 is: 177,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,463.32 : 318,042.78 = 128,485.76 : x
  2. Step 2: Convert to fraction form
    230,463.32/318,042.78 = 128,485.76/x
  3. Step 3: Cross multiply
    230,463.32x = 318,042.78 × 128,485.76
  4. Step 4: Simplify right side
    230,463.32x = 40,863,968,300.81
  5. Step 5: Solve for x
    x = 40,863,968,300.81/230,463.32
  6. Step 6: Final answer
    x = 177,312.24

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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.