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Finding the Fourth Proportional to 310,055.42, 465,037.76 and 147,912.86

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Solution

The fourth proportional to 310,055.42, 465,037.76 and 147,912.86 is: 221,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,055.42 : 465,037.76 = 147,912.86 : x
  2. Step 2: Convert to fraction form
    310,055.42/465,037.76 = 147,912.86/x
  3. Step 3: Cross multiply
    310,055.42x = 465,037.76 × 147,912.86
  4. Step 4: Simplify right side
    310,055.42x = 68,785,063,134.19
  5. Step 5: Solve for x
    x = 68,785,063,134.19/310,055.42
  6. Step 6: Final answer
    x = 221,847.64

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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.