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Finding the Fourth Proportional to 285,262.26, 427,585.71 and 185,494.02

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Solution

The fourth proportional to 285,262.26, 427,585.71 and 185,494.02 is: 278,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,262.26 : 427,585.71 = 185,494.02 : x
  2. Step 2: Convert to fraction form
    285,262.26/427,585.71 = 185,494.02/x
  3. Step 3: Cross multiply
    285,262.26x = 427,585.71 × 185,494.02
  4. Step 4: Simplify right side
    285,262.26x = 79,314,592,242.45
  5. Step 5: Solve for x
    x = 79,314,592,242.45/285,262.26
  6. Step 6: Final answer
    x = 278,040.96

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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.