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Finding the Fourth Proportional to 286,882.80, 430,162.20 and 109,395.60

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Solution

The fourth proportional to 286,882.80, 430,162.20 and 109,395.60 is: 164,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,882.80 : 430,162.20 = 109,395.60 : x
  2. Step 2: Convert to fraction form
    286,882.80/430,162.20 = 109,395.60/x
  3. Step 3: Cross multiply
    286,882.80x = 430,162.20 × 109,395.60
  4. Step 4: Simplify right side
    286,882.80x = 47,057,851,966.32
  5. Step 5: Solve for x
    x = 47,057,851,966.32/286,882.80
  6. Step 6: Final answer
    x = 164,031.63

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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.