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Finding the Fourth Proportional to 286,214.48, 429,333.39 and 72,987.92

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Solution

The fourth proportional to 286,214.48, 429,333.39 and 72,987.92 is: 109,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,214.48 : 429,333.39 = 72,987.92 : x
  2. Step 2: Convert to fraction form
    286,214.48/429,333.39 = 72,987.92/x
  3. Step 3: Cross multiply
    286,214.48x = 429,333.39 × 72,987.92
  4. Step 4: Simplify right side
    286,214.48x = 31,336,148,975.98
  5. Step 5: Solve for x
    x = 31,336,148,975.98/286,214.48
  6. Step 6: Final answer
    x = 109,484.85

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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.