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Finding the Fourth Proportional to 419,349.60, 578,709.36 and 228,366.72

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Solution

The fourth proportional to 419,349.60, 578,709.36 and 228,366.72 is: 315,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,349.60 : 578,709.36 = 228,366.72 : x
  2. Step 2: Convert to fraction form
    419,349.60/578,709.36 = 228,366.72/x
  3. Step 3: Cross multiply
    419,349.60x = 578,709.36 × 228,366.72
  4. Step 4: Simplify right side
    419,349.60x = 132,157,958,376.50
  5. Step 5: Solve for x
    x = 132,157,958,376.50/419,349.60
  6. Step 6: Final answer
    x = 315,149.84

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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.