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Finding the Fourth Proportional to 419,520.32, 578,931.36 and 228,536

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Solution

The fourth proportional to 419,520.32, 578,931.36 and 228,536 is: 315,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,520.32 : 578,931.36 = 228,536 : x
  2. Step 2: Convert to fraction form
    419,520.32/578,931.36 = 228,536/x
  3. Step 3: Cross multiply
    419,520.32x = 578,931.36 × 228,536
  4. Step 4: Simplify right side
    419,520.32x = 132,306,657,288.96
  5. Step 5: Solve for x
    x = 132,306,657,288.96/419,520.32
  6. Step 6: Final answer
    x = 315,376.04

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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.