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Finding the Fourth Proportional to 285,798.10, 394,400.73 and 158,470.42

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Solution

The fourth proportional to 285,798.10, 394,400.73 and 158,470.42 is: 218,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798.10 : 394,400.73 = 158,470.42 : x
  2. Step 2: Convert to fraction form
    285,798.10/394,400.73 = 158,470.42/x
  3. Step 3: Cross multiply
    285,798.10x = 394,400.73 × 158,470.42
  4. Step 4: Simplify right side
    285,798.10x = 62,500,849,331.41
  5. Step 5: Solve for x
    x = 62,500,849,331.41/285,798.10
  6. Step 6: Final answer
    x = 218,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.