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Finding the Fourth Proportional to 285,733.89, 428,558.72 and 75,386.61

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Solution

The fourth proportional to 285,733.89, 428,558.72 and 75,386.61 is: 113,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,733.89 : 428,558.72 = 75,386.61 : x
  2. Step 2: Convert to fraction form
    285,733.89/428,558.72 = 75,386.61/x
  3. Step 3: Cross multiply
    285,733.89x = 428,558.72 × 75,386.61
  4. Step 4: Simplify right side
    285,733.89x = 32,307,588,709.81
  5. Step 5: Solve for x
    x = 32,307,588,709.81/285,733.89
  6. Step 6: Final answer
    x = 113,068.80

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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.