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Finding the Fourth Proportional to 419,565.60, 578,998.80 and 228,578.40

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Solution

The fourth proportional to 419,565.60, 578,998.80 and 228,578.40 is: 315,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,565.60 : 578,998.80 = 228,578.40 : x
  2. Step 2: Convert to fraction form
    419,565.60/578,998.80 = 228,578.40/x
  3. Step 3: Cross multiply
    419,565.60x = 578,998.80 × 228,578.40
  4. Step 4: Simplify right side
    419,565.60x = 132,346,619,305.92
  5. Step 5: Solve for x
    x = 132,346,619,305.92/419,565.60
  6. Step 6: Final answer
    x = 315,437.25

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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.