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Finding the Fourth Proportional to 420,616.72, 580,459.84 and 229,638.16

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Solution

The fourth proportional to 420,616.72, 580,459.84 and 229,638.16 is: 316,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,616.72 : 580,459.84 = 229,638.16 : x
  2. Step 2: Convert to fraction form
    420,616.72/580,459.84 = 229,638.16/x
  3. Step 3: Cross multiply
    420,616.72x = 580,459.84 × 229,638.16
  4. Step 4: Simplify right side
    420,616.72x = 133,295,729,611.49
  5. Step 5: Solve for x
    x = 133,295,729,611.49/420,616.72
  6. Step 6: Final answer
    x = 316,905.45

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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.