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Finding the Fourth Proportional to 286,466.82, 429,744.80 and 86,739.65

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Solution

The fourth proportional to 286,466.82, 429,744.80 and 86,739.65 is: 130,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,466.82 : 429,744.80 = 86,739.65 : x
  2. Step 2: Convert to fraction form
    286,466.82/429,744.80 = 86,739.65/x
  3. Step 3: Cross multiply
    286,466.82x = 429,744.80 × 86,739.65
  4. Step 4: Simplify right side
    286,466.82x = 37,275,913,541.32
  5. Step 5: Solve for x
    x = 37,275,913,541.32/286,466.82
  6. Step 6: Final answer
    x = 130,122.97

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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.