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Finding the Fourth Proportional to 409,487.40, 614,231.10 and 377,994.60

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Solution

The fourth proportional to 409,487.40, 614,231.10 and 377,994.60 is: 566,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,487.40 : 614,231.10 = 377,994.60 : x
  2. Step 2: Convert to fraction form
    409,487.40/614,231.10 = 377,994.60/x
  3. Step 3: Cross multiply
    409,487.40x = 614,231.10 × 377,994.60
  4. Step 4: Simplify right side
    409,487.40x = 232,176,038,952.06
  5. Step 5: Solve for x
    x = 232,176,038,952.06/409,487.40
  6. Step 6: Final answer
    x = 566,991.90

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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.