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Finding the Fourth Proportional to 412,720.10, 578,857.90 and 412,720.10

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Solution

The fourth proportional to 412,720.10, 578,857.90 and 412,720.10 is: 578,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,720.10 : 578,857.90 = 412,720.10 : x
  2. Step 2: Convert to fraction form
    412,720.10/578,857.90 = 412,720.10/x
  3. Step 3: Cross multiply
    412,720.10x = 578,857.90 × 412,720.10
  4. Step 4: Simplify right side
    412,720.10x = 238,906,290,373.79
  5. Step 5: Solve for x
    x = 238,906,290,373.79/412,720.10
  6. Step 6: Final answer
    x = 578,857.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.