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Finding the Fourth Proportional to 285,279.93, 393,708.47 and 157,967.37

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Solution

The fourth proportional to 285,279.93, 393,708.47 and 157,967.37 is: 218,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,279.93 : 393,708.47 = 157,967.37 : x
  2. Step 2: Convert to fraction form
    285,279.93/393,708.47 = 157,967.37/x
  3. Step 3: Cross multiply
    285,279.93x = 393,708.47 × 157,967.37
  4. Step 4: Simplify right side
    285,279.93x = 62,193,090,762.79
  5. Step 5: Solve for x
    x = 62,193,090,762.79/285,279.93
  6. Step 6: Final answer
    x = 218,007.24

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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.