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Finding the Fourth Proportional to 285,756.51, 394,366.28 and 158,456.91

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Solution

The fourth proportional to 285,756.51, 394,366.28 and 158,456.91 is: 218,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,756.51 : 394,366.28 = 158,456.91 : x
  2. Step 2: Convert to fraction form
    285,756.51/394,366.28 = 158,456.91/x
  3. Step 3: Cross multiply
    285,756.51x = 394,366.28 × 158,456.91
  4. Step 4: Simplify right side
    285,756.51x = 62,490,061,344.71
  5. Step 5: Solve for x
    x = 62,490,061,344.71/285,756.51
  6. Step 6: Final answer
    x = 218,682.90

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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.