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Finding the Fourth Proportional to 285,795.90, 394,403.75 and 156,726.20

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Solution

The fourth proportional to 285,795.90, 394,403.75 and 156,726.20 is: 216,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,795.90 : 394,403.75 = 156,726.20 : x
  2. Step 2: Convert to fraction form
    285,795.90/394,403.75 = 156,726.20/x
  3. Step 3: Cross multiply
    285,795.90x = 394,403.75 × 156,726.20
  4. Step 4: Simplify right side
    285,795.90x = 61,813,399,681.39
  5. Step 5: Solve for x
    x = 61,813,399,681.39/285,795.90
  6. Step 6: Final answer
    x = 216,285.12

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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.