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Finding the Fourth Proportional to 409,822.40, 614,733.60 and 339,838.40

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Solution

The fourth proportional to 409,822.40, 614,733.60 and 339,838.40 is: 509,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,822.40 : 614,733.60 = 339,838.40 : x
  2. Step 2: Convert to fraction form
    409,822.40/614,733.60 = 339,838.40/x
  3. Step 3: Cross multiply
    409,822.40x = 614,733.60 × 339,838.40
  4. Step 4: Simplify right side
    409,822.40x = 208,910,083,050.24
  5. Step 5: Solve for x
    x = 208,910,083,050.24/409,822.40
  6. Step 6: Final answer
    x = 509,757.60

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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.