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Finding the Fourth Proportional to 519,977.20, 780,038.70 and 204,360.70

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Solution

The fourth proportional to 519,977.20, 780,038.70 and 204,360.70 is: 306,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,977.20 : 780,038.70 = 204,360.70 : x
  2. Step 2: Convert to fraction form
    519,977.20/780,038.70 = 204,360.70/x
  3. Step 3: Cross multiply
    519,977.20x = 780,038.70 × 204,360.70
  4. Step 4: Simplify right side
    519,977.20x = 159,409,254,759.09
  5. Step 5: Solve for x
    x = 159,409,254,759.09/519,977.20
  6. Step 6: Final answer
    x = 306,569.70

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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.