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Finding the Fourth Proportional to 601,995.61, 830,722.20 and 343,821.81

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Solution

The fourth proportional to 601,995.61, 830,722.20 and 343,821.81 is: 474,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,995.61 : 830,722.20 = 343,821.81 : x
  2. Step 2: Convert to fraction form
    601,995.61/830,722.20 = 343,821.81/x
  3. Step 3: Cross multiply
    601,995.61x = 830,722.20 × 343,821.81
  4. Step 4: Simplify right side
    601,995.61x = 285,620,412,237.06
  5. Step 5: Solve for x
    x = 285,620,412,237.06/601,995.61
  6. Step 6: Final answer
    x = 474,455.97

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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.