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Finding the Fourth Proportional to 311,680.78, 467,547.69 and 98,391.63

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Solution

The fourth proportional to 311,680.78, 467,547.69 and 98,391.63 is: 147,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,680.78 : 467,547.69 = 98,391.63 : x
  2. Step 2: Convert to fraction form
    311,680.78/467,547.69 = 98,391.63/x
  3. Step 3: Cross multiply
    311,680.78x = 467,547.69 × 98,391.63
  4. Step 4: Simplify right side
    311,680.78x = 46,002,781,444.11
  5. Step 5: Solve for x
    x = 46,002,781,444.11/311,680.78
  6. Step 6: Final answer
    x = 147,595.82

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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.