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Finding the Fourth Proportional to 409,826.80, 614,084.10 and 259,798.60

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Solution

The fourth proportional to 409,826.80, 614,084.10 and 259,798.60 is: 389,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,826.80 : 614,084.10 = 259,798.60 : x
  2. Step 2: Convert to fraction form
    409,826.80/614,084.10 = 259,798.60/x
  3. Step 3: Cross multiply
    409,826.80x = 614,084.10 × 259,798.60
  4. Step 4: Simplify right side
    409,826.80x = 159,538,189,462.26
  5. Step 5: Solve for x
    x = 159,538,189,462.26/409,826.80
  6. Step 6: Final answer
    x = 389,281.98

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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.