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Finding the Fourth Proportional to 286,798.68, 430,198.02 and 136,583.58

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Solution

The fourth proportional to 286,798.68, 430,198.02 and 136,583.58 is: 204,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,798.68 : 430,198.02 = 136,583.58 : x
  2. Step 2: Convert to fraction form
    286,798.68/430,198.02 = 136,583.58/x
  3. Step 3: Cross multiply
    286,798.68x = 430,198.02 × 136,583.58
  4. Step 4: Simplify right side
    286,798.68x = 58,757,985,680.51
  5. Step 5: Solve for x
    x = 58,757,985,680.51/286,798.68
  6. Step 6: Final answer
    x = 204,875.37

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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.