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Finding the Fourth Proportional to 409,901.40, 614,852.10 and 324,280.35

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Solution

The fourth proportional to 409,901.40, 614,852.10 and 324,280.35 is: 486,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,901.40 : 614,852.10 = 324,280.35 : x
  2. Step 2: Convert to fraction form
    409,901.40/614,852.10 = 324,280.35/x
  3. Step 3: Cross multiply
    409,901.40x = 614,852.10 × 324,280.35
  4. Step 4: Simplify right side
    409,901.40x = 199,384,454,186.24
  5. Step 5: Solve for x
    x = 199,384,454,186.24/409,901.40
  6. Step 6: Final answer
    x = 486,420.53

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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.