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Finding the Fourth Proportional to 315,410.70, 473,116.05 and 203,436.30

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Solution

The fourth proportional to 315,410.70, 473,116.05 and 203,436.30 is: 305,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,410.70 : 473,116.05 = 203,436.30 : x
  2. Step 2: Convert to fraction form
    315,410.70/473,116.05 = 203,436.30/x
  3. Step 3: Cross multiply
    315,410.70x = 473,116.05 × 203,436.30
  4. Step 4: Simplify right side
    315,410.70x = 96,248,978,682.62
  5. Step 5: Solve for x
    x = 96,248,978,682.62/315,410.70
  6. Step 6: Final answer
    x = 305,154.45

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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.