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Finding the Fourth Proportional to 362,314.20, 542,815.20 and 309,826.20

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Solution

The fourth proportional to 362,314.20, 542,815.20 and 309,826.20 is: 464,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,314.20 : 542,815.20 = 309,826.20 : x
  2. Step 2: Convert to fraction form
    362,314.20/542,815.20 = 309,826.20/x
  3. Step 3: Cross multiply
    362,314.20x = 542,815.20 × 309,826.20
  4. Step 4: Simplify right side
    362,314.20x = 168,178,370,718.24
  5. Step 5: Solve for x
    x = 168,178,370,718.24/362,314.20
  6. Step 6: Final answer
    x = 464,178.25

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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.