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Finding the Fourth Proportional to 515,568.40, 773,352.60 and 409,814.80

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Solution

The fourth proportional to 515,568.40, 773,352.60 and 409,814.80 is: 614,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,568.40 : 773,352.60 = 409,814.80 : x
  2. Step 2: Convert to fraction form
    515,568.40/773,352.60 = 409,814.80/x
  3. Step 3: Cross multiply
    515,568.40x = 773,352.60 × 409,814.80
  4. Step 4: Simplify right side
    515,568.40x = 316,931,341,098.48
  5. Step 5: Solve for x
    x = 316,931,341,098.48/515,568.40
  6. Step 6: Final answer
    x = 614,722.20

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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.