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Finding the Fourth Proportional to 286,991.86, 429,989.10 and 201,421.30

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Solution

The fourth proportional to 286,991.86, 429,989.10 and 201,421.30 is: 301,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,991.86 : 429,989.10 = 201,421.30 : x
  2. Step 2: Convert to fraction form
    286,991.86/429,989.10 = 201,421.30/x
  3. Step 3: Cross multiply
    286,991.86x = 429,989.10 × 201,421.30
  4. Step 4: Simplify right side
    286,991.86x = 86,608,963,507.83
  5. Step 5: Solve for x
    x = 86,608,963,507.83/286,991.86
  6. Step 6: Final answer
    x = 301,781.95

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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.