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Finding the Fourth Proportional to 312,463.49, 470,025.65 and 283,234.28

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Solution

The fourth proportional to 312,463.49, 470,025.65 and 283,234.28 is: 426,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,463.49 : 470,025.65 = 283,234.28 : x
  2. Step 2: Convert to fraction form
    312,463.49/470,025.65 = 283,234.28/x
  3. Step 3: Cross multiply
    312,463.49x = 470,025.65 × 283,234.28
  4. Step 4: Simplify right side
    312,463.49x = 133,127,374,917.24
  5. Step 5: Solve for x
    x = 133,127,374,917.24/312,463.49
  6. Step 6: Final answer
    x = 426,057.38

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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.