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Finding the Fourth Proportional to 286,315.86, 429,473.32 and 73,083.74

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Solution

The fourth proportional to 286,315.86, 429,473.32 and 73,083.74 is: 109,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,315.86 : 429,473.32 = 73,083.74 : x
  2. Step 2: Convert to fraction form
    286,315.86/429,473.32 = 73,083.74/x
  3. Step 3: Cross multiply
    286,315.86x = 429,473.32 × 73,083.74
  4. Step 4: Simplify right side
    286,315.86x = 31,387,516,010.33
  5. Step 5: Solve for x
    x = 31,387,516,010.33/286,315.86
  6. Step 6: Final answer
    x = 109,625.49

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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.