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Finding the Fourth Proportional to 313,995.16, 471,014.34 and 103,780.72

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Solution

The fourth proportional to 313,995.16, 471,014.34 and 103,780.72 is: 155,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,995.16 : 471,014.34 = 103,780.72 : x
  2. Step 2: Convert to fraction form
    313,995.16/471,014.34 = 103,780.72/x
  3. Step 3: Cross multiply
    313,995.16x = 471,014.34 × 103,780.72
  4. Step 4: Simplify right side
    313,995.16x = 48,882,207,335.52
  5. Step 5: Solve for x
    x = 48,882,207,335.52/313,995.16
  6. Step 6: Final answer
    x = 155,678.22

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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.