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Finding the Fourth Proportional to 419,427.60, 578,817 and 228,444.72

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Solution

The fourth proportional to 419,427.60, 578,817 and 228,444.72 is: 315,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,427.60 : 578,817 = 228,444.72 : x
  2. Step 2: Convert to fraction form
    419,427.60/578,817 = 228,444.72/x
  3. Step 3: Cross multiply
    419,427.60x = 578,817 × 228,444.72
  4. Step 4: Simplify right side
    419,427.60x = 132,227,687,496.24
  5. Step 5: Solve for x
    x = 132,227,687,496.24/419,427.60
  6. Step 6: Final answer
    x = 315,257.48

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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.