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Finding the Fourth Proportional to 286,635.36, 430,030.80 and 99,661.44

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Solution

The fourth proportional to 286,635.36, 430,030.80 and 99,661.44 is: 149,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,635.36 : 430,030.80 = 99,661.44 : x
  2. Step 2: Convert to fraction form
    286,635.36/430,030.80 = 99,661.44/x
  3. Step 3: Cross multiply
    286,635.36x = 430,030.80 × 99,661.44
  4. Step 4: Simplify right side
    286,635.36x = 42,857,488,772.35
  5. Step 5: Solve for x
    x = 42,857,488,772.35/286,635.36
  6. Step 6: Final answer
    x = 149,519.20

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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.