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Finding the Fourth Proportional to 313,707.12, 470,562.24 and 77,049.84

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Solution

The fourth proportional to 313,707.12, 470,562.24 and 77,049.84 is: 115,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,707.12 : 470,562.24 = 77,049.84 : x
  2. Step 2: Convert to fraction form
    313,707.12/470,562.24 = 77,049.84/x
  3. Step 3: Cross multiply
    313,707.12x = 470,562.24 × 77,049.84
  4. Step 4: Simplify right side
    313,707.12x = 36,256,745,302.04
  5. Step 5: Solve for x
    x = 36,256,745,302.04/313,707.12
  6. Step 6: Final answer
    x = 115,575.14

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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.