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Finding the Fourth Proportional to 286,607.82, 429,912.75 and 86,929.92

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Solution

The fourth proportional to 286,607.82, 429,912.75 and 86,929.92 is: 130,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,607.82 : 429,912.75 = 86,929.92 : x
  2. Step 2: Convert to fraction form
    286,607.82/429,912.75 = 86,929.92/x
  3. Step 3: Cross multiply
    286,607.82x = 429,912.75 × 86,929.92
  4. Step 4: Simplify right side
    286,607.82x = 37,372,280,964.48
  5. Step 5: Solve for x
    x = 37,372,280,964.48/286,607.82
  6. Step 6: Final answer
    x = 130,395.19

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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.