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Finding the Fourth Proportional to 409,615.80, 614,423.70 and 376,438.20

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Solution

The fourth proportional to 409,615.80, 614,423.70 and 376,438.20 is: 564,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,615.80 : 614,423.70 = 376,438.20 : x
  2. Step 2: Convert to fraction form
    409,615.80/614,423.70 = 376,438.20/x
  3. Step 3: Cross multiply
    409,615.80x = 614,423.70 × 376,438.20
  4. Step 4: Simplify right side
    409,615.80x = 231,292,551,665.34
  5. Step 5: Solve for x
    x = 231,292,551,665.34/409,615.80
  6. Step 6: Final answer
    x = 564,657.30

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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.