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Finding the Fourth Proportional to 419,404.60, 578,785.26 and 228,421.72

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Solution

The fourth proportional to 419,404.60, 578,785.26 and 228,421.72 is: 315,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,404.60 : 578,785.26 = 228,421.72 : x
  2. Step 2: Convert to fraction form
    419,404.60/578,785.26 = 228,421.72/x
  3. Step 3: Cross multiply
    419,404.60x = 578,785.26 × 228,421.72
  4. Step 4: Simplify right side
    419,404.60x = 132,207,124,599.85
  5. Step 5: Solve for x
    x = 132,207,124,599.85/419,404.60
  6. Step 6: Final answer
    x = 315,225.74

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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.