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Finding the Fourth Proportional to 315,638.64, 473,388.30 and 90,949.50

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Solution

The fourth proportional to 315,638.64, 473,388.30 and 90,949.50 is: 136,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,638.64 : 473,388.30 = 90,949.50 : x
  2. Step 2: Convert to fraction form
    315,638.64/473,388.30 = 90,949.50/x
  3. Step 3: Cross multiply
    315,638.64x = 473,388.30 × 90,949.50
  4. Step 4: Simplify right side
    315,638.64x = 43,054,429,190.85
  5. Step 5: Solve for x
    x = 43,054,429,190.85/315,638.64
  6. Step 6: Final answer
    x = 136,404.18

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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.