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Finding the Fourth Proportional to 286,658.22, 430,049.82 and 86,994.24

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Solution

The fourth proportional to 286,658.22, 430,049.82 and 86,994.24 is: 130,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,658.22 : 430,049.82 = 86,994.24 : x
  2. Step 2: Convert to fraction form
    286,658.22/430,049.82 = 86,994.24/x
  3. Step 3: Cross multiply
    286,658.22x = 430,049.82 × 86,994.24
  4. Step 4: Simplify right side
    286,658.22x = 37,411,855,232.56
  5. Step 5: Solve for x
    x = 37,411,855,232.56/286,658.22
  6. Step 6: Final answer
    x = 130,510.32

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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.