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Finding the Fourth Proportional to 313,487.10, 470,230.65 and 76,832.10

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Solution

The fourth proportional to 313,487.10, 470,230.65 and 76,832.10 is: 115,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,487.10 : 470,230.65 = 76,832.10 : x
  2. Step 2: Convert to fraction form
    313,487.10/470,230.65 = 76,832.10/x
  3. Step 3: Cross multiply
    313,487.10x = 470,230.65 × 76,832.10
  4. Step 4: Simplify right side
    313,487.10x = 36,128,808,323.87
  5. Step 5: Solve for x
    x = 36,128,808,323.87/313,487.10
  6. Step 6: Final answer
    x = 115,248.15

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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.