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Finding the Fourth Proportional to 315,521.48, 435,419.14 and 202,344.04

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Solution

The fourth proportional to 315,521.48, 435,419.14 and 202,344.04 is: 279,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,521.48 : 435,419.14 = 202,344.04 : x
  2. Step 2: Convert to fraction form
    315,521.48/435,419.14 = 202,344.04/x
  3. Step 3: Cross multiply
    315,521.48x = 435,419.14 × 202,344.04
  4. Step 4: Simplify right side
    315,521.48x = 88,104,467,880.93
  5. Step 5: Solve for x
    x = 88,104,467,880.93/315,521.48
  6. Step 6: Final answer
    x = 279,234.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.