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Finding the Fourth Proportional to 432,838.10, 649,257.15 and 401,345.30

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Solution

The fourth proportional to 432,838.10, 649,257.15 and 401,345.30 is: 602,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,838.10 : 649,257.15 = 401,345.30 : x
  2. Step 2: Convert to fraction form
    432,838.10/649,257.15 = 401,345.30/x
  3. Step 3: Cross multiply
    432,838.10x = 649,257.15 × 401,345.30
  4. Step 4: Simplify right side
    432,838.10x = 260,576,305,643.90
  5. Step 5: Solve for x
    x = 260,576,305,643.90/432,838.10
  6. Step 6: Final answer
    x = 602,017.95

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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.