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Finding the Fourth Proportional to 419,479.12, 578,886.24 and 228,494.08

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Solution

The fourth proportional to 419,479.12, 578,886.24 and 228,494.08 is: 315,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,479.12 : 578,886.24 = 228,494.08 : x
  2. Step 2: Convert to fraction form
    419,479.12/578,886.24 = 228,494.08/x
  3. Step 3: Cross multiply
    419,479.12x = 578,886.24 × 228,494.08
  4. Step 4: Simplify right side
    419,479.12x = 132,272,078,833.46
  5. Step 5: Solve for x
    x = 132,272,078,833.46/419,479.12
  6. Step 6: Final answer
    x = 315,324.58

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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.