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Finding the Fourth Proportional to 601,990.12, 830,714.61 and 343,816.31

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Solution

The fourth proportional to 601,990.12, 830,714.61 and 343,816.31 is: 474,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,990.12 : 830,714.61 = 343,816.31 : x
  2. Step 2: Convert to fraction form
    601,990.12/830,714.61 = 343,816.31/x
  3. Step 3: Cross multiply
    601,990.12x = 830,714.61 × 343,816.31
  4. Step 4: Simplify right side
    601,990.12x = 285,613,231,873.29
  5. Step 5: Solve for x
    x = 285,613,231,873.29/601,990.12
  6. Step 6: Final answer
    x = 474,448.37

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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.