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Finding the Fourth Proportional to 519,280.32, 778,585.44 and 203,769.12

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Solution

The fourth proportional to 519,280.32, 778,585.44 and 203,769.12 is: 305,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,280.32 : 778,585.44 = 203,769.12 : x
  2. Step 2: Convert to fraction form
    519,280.32/778,585.44 = 203,769.12/x
  3. Step 3: Cross multiply
    519,280.32x = 778,585.44 × 203,769.12
  4. Step 4: Simplify right side
    519,280.32x = 158,651,669,953.61
  5. Step 5: Solve for x
    x = 158,651,669,953.61/519,280.32
  6. Step 6: Final answer
    x = 305,522.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.