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Finding the Fourth Proportional to 286,404.10, 430,065.15 and 227,727.70

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Solution

The fourth proportional to 286,404.10, 430,065.15 and 227,727.70 is: 341,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,404.10 : 430,065.15 = 227,727.70 : x
  2. Step 2: Convert to fraction form
    286,404.10/430,065.15 = 227,727.70/x
  3. Step 3: Cross multiply
    286,404.10x = 430,065.15 × 227,727.70
  4. Step 4: Simplify right side
    286,404.10x = 97,937,747,459.66
  5. Step 5: Solve for x
    x = 97,937,747,459.66/286,404.10
  6. Step 6: Final answer
    x = 341,956.51

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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.