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Finding the Fourth Proportional to 285,323.44, 427,984.13 and 85,642.96

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Solution

The fourth proportional to 285,323.44, 427,984.13 and 85,642.96 is: 128,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,323.44 : 427,984.13 = 85,642.96 : x
  2. Step 2: Convert to fraction form
    285,323.44/427,984.13 = 85,642.96/x
  3. Step 3: Cross multiply
    285,323.44x = 427,984.13 × 85,642.96
  4. Step 4: Simplify right side
    285,323.44x = 36,653,827,726.22
  5. Step 5: Solve for x
    x = 36,653,827,726.22/285,323.44
  6. Step 6: Final answer
    x = 128,464.13

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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.