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Finding the Fourth Proportional to 601,808.20, 902,712.30 and 389,231.80

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Solution

The fourth proportional to 601,808.20, 902,712.30 and 389,231.80 is: 583,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,808.20 : 902,712.30 = 389,231.80 : x
  2. Step 2: Convert to fraction form
    601,808.20/902,712.30 = 389,231.80/x
  3. Step 3: Cross multiply
    601,808.20x = 902,712.30 × 389,231.80
  4. Step 4: Simplify right side
    601,808.20x = 351,364,333,411.14
  5. Step 5: Solve for x
    x = 351,364,333,411.14/601,808.20
  6. Step 6: Final answer
    x = 583,847.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.