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Finding the Fourth Proportional to 312,822.40, 470,108.40 and 274,331.20

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Solution

The fourth proportional to 312,822.40, 470,108.40 and 274,331.20 is: 412,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,822.40 : 470,108.40 = 274,331.20 : x
  2. Step 2: Convert to fraction form
    312,822.40/470,108.40 = 274,331.20/x
  3. Step 3: Cross multiply
    312,822.40x = 470,108.40 × 274,331.20
  4. Step 4: Simplify right side
    312,822.40x = 128,965,401,502.08
  5. Step 5: Solve for x
    x = 128,965,401,502.08/312,822.40
  6. Step 6: Final answer
    x = 412,263.96

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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.