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Finding the Fourth Proportional to 285,435.95, 427,471.83 and 158,761.53

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Solution

The fourth proportional to 285,435.95, 427,471.83 and 158,761.53 is: 237,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,435.95 : 427,471.83 = 158,761.53 : x
  2. Step 2: Convert to fraction form
    285,435.95/427,471.83 = 158,761.53/x
  3. Step 3: Cross multiply
    285,435.95x = 427,471.83 × 158,761.53
  4. Step 4: Simplify right side
    285,435.95x = 67,866,081,762.70
  5. Step 5: Solve for x
    x = 67,866,081,762.70/285,435.95
  6. Step 6: Final answer
    x = 237,762.91

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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.