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Finding the Fourth Proportional to 418,749.36, 578,466 and 324,471.84

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Solution

The fourth proportional to 418,749.36, 578,466 and 324,471.84 is: 448,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,749.36 : 578,466 = 324,471.84 : x
  2. Step 2: Convert to fraction form
    418,749.36/578,466 = 324,471.84/x
  3. Step 3: Cross multiply
    418,749.36x = 578,466 × 324,471.84
  4. Step 4: Simplify right side
    418,749.36x = 187,695,927,397.44
  5. Step 5: Solve for x
    x = 187,695,927,397.44/418,749.36
  6. Step 6: Final answer
    x = 448,229.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.