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Finding the Fourth Proportional to 285,309.61, 393,722.44 and 157,982.47

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Solution

The fourth proportional to 285,309.61, 393,722.44 and 157,982.47 is: 218,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,309.61 : 393,722.44 = 157,982.47 : x
  2. Step 2: Convert to fraction form
    285,309.61/393,722.44 = 157,982.47/x
  3. Step 3: Cross multiply
    285,309.61x = 393,722.44 × 157,982.47
  4. Step 4: Simplify right side
    285,309.61x = 62,201,243,565.63
  5. Step 5: Solve for x
    x = 62,201,243,565.63/285,309.61
  6. Step 6: Final answer
    x = 218,013.14

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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.