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Finding the Fourth Proportional to 641,643.12, 964,209.42 and 342,335.16

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Solution

The fourth proportional to 641,643.12, 964,209.42 and 342,335.16 is: 514,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,643.12 : 964,209.42 = 342,335.16 : x
  2. Step 2: Convert to fraction form
    641,643.12/964,209.42 = 342,335.16/x
  3. Step 3: Cross multiply
    641,643.12x = 964,209.42 × 342,335.16
  4. Step 4: Simplify right side
    641,643.12x = 330,082,786,069.21
  5. Step 5: Solve for x
    x = 330,082,786,069.21/641,643.12
  6. Step 6: Final answer
    x = 514,433.61

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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.