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Finding the Fourth Proportional to 286,606.86, 429,909.78 and 76,244.81

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Solution

The fourth proportional to 286,606.86, 429,909.78 and 76,244.81 is: 114,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,606.86 : 429,909.78 = 76,244.81 : x
  2. Step 2: Convert to fraction form
    286,606.86/429,909.78 = 76,244.81/x
  3. Step 3: Cross multiply
    286,606.86x = 429,909.78 × 76,244.81
  4. Step 4: Simplify right side
    286,606.86x = 32,778,387,343.69
  5. Step 5: Solve for x
    x = 32,778,387,343.69/286,606.86
  6. Step 6: Final answer
    x = 114,367.07

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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.