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Finding the Fourth Proportional to 286,401.60, 430,061.40 and 227,725.20

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Solution

The fourth proportional to 286,401.60, 430,061.40 and 227,725.20 is: 341,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,401.60 : 430,061.40 = 227,725.20 : x
  2. Step 2: Convert to fraction form
    286,401.60/430,061.40 = 227,725.20/x
  3. Step 3: Cross multiply
    286,401.60x = 430,061.40 × 227,725.20
  4. Step 4: Simplify right side
    286,401.60x = 97,935,818,327.28
  5. Step 5: Solve for x
    x = 97,935,818,327.28/286,401.60
  6. Step 6: Final answer
    x = 341,952.76

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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.