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Finding the Fourth Proportional to 419,309.60, 578,654.16 and 228,326.72

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Solution

The fourth proportional to 419,309.60, 578,654.16 and 228,326.72 is: 315,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,309.60 : 578,654.16 = 228,326.72 : x
  2. Step 2: Convert to fraction form
    419,309.60/578,654.16 = 228,326.72/x
  3. Step 3: Cross multiply
    419,309.60x = 578,654.16 × 228,326.72
  4. Step 4: Simplify right side
    419,309.60x = 132,122,206,367.16
  5. Step 5: Solve for x
    x = 132,122,206,367.16/419,309.60
  6. Step 6: Final answer
    x = 315,094.64

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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.