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Finding the Fourth Proportional to 419,462.74, 578,867.48 and 228,475.68

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Solution

The fourth proportional to 419,462.74, 578,867.48 and 228,475.68 is: 315,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,462.74 : 578,867.48 = 228,475.68 : x
  2. Step 2: Convert to fraction form
    419,462.74/578,867.48 = 228,475.68/x
  3. Step 3: Cross multiply
    419,462.74x = 578,867.48 × 228,475.68
  4. Step 4: Simplify right side
    419,462.74x = 132,257,141,122.89
  5. Step 5: Solve for x
    x = 132,257,141,122.89/419,462.74
  6. Step 6: Final answer
    x = 315,301.29

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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.