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Finding the Fourth Proportional to 314,954.54, 472,334.92 and 90,254.74

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Solution

The fourth proportional to 314,954.54, 472,334.92 and 90,254.74 is: 135,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,954.54 : 472,334.92 = 90,254.74 : x
  2. Step 2: Convert to fraction form
    314,954.54/472,334.92 = 90,254.74/x
  3. Step 3: Cross multiply
    314,954.54x = 472,334.92 × 90,254.74
  4. Step 4: Simplify right side
    314,954.54x = 42,630,463,991.05
  5. Step 5: Solve for x
    x = 42,630,463,991.05/314,954.54
  6. Step 6: Final answer
    x = 135,354.34

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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.