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Finding the Fourth Proportional to 314,908.32, 434,305.68 and 212,906.64

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Solution

The fourth proportional to 314,908.32, 434,305.68 and 212,906.64 is: 293,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,908.32 : 434,305.68 = 212,906.64 : x
  2. Step 2: Convert to fraction form
    314,908.32/434,305.68 = 212,906.64/x
  3. Step 3: Cross multiply
    314,908.32x = 434,305.68 × 212,906.64
  4. Step 4: Simplify right side
    314,908.32x = 92,466,563,061.72
  5. Step 5: Solve for x
    x = 92,466,563,061.72/314,908.32
  6. Step 6: Final answer
    x = 293,630.10

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1.5x scale

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.