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Finding the Fourth Proportional to 311,390.64, 467,233.59 and 185,280.12

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Solution

The fourth proportional to 311,390.64, 467,233.59 and 185,280.12 is: 278,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,390.64 : 467,233.59 = 185,280.12 : x
  2. Step 2: Convert to fraction form
    311,390.64/467,233.59 = 185,280.12/x
  3. Step 3: Cross multiply
    311,390.64x = 467,233.59 × 185,280.12
  4. Step 4: Simplify right side
    311,390.64x = 86,569,095,623.23
  5. Step 5: Solve for x
    x = 86,569,095,623.23/311,390.64
  6. Step 6: Final answer
    x = 278,008.02

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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.