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Finding the Fourth Proportional to 513,665.22, 709,535.32 and 394,281.74

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Solution

The fourth proportional to 513,665.22, 709,535.32 and 394,281.74 is: 544,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,665.22 : 709,535.32 = 394,281.74 : x
  2. Step 2: Convert to fraction form
    513,665.22/709,535.32 = 394,281.74/x
  3. Step 3: Cross multiply
    513,665.22x = 709,535.32 × 394,281.74
  4. Step 4: Simplify right side
    513,665.22x = 279,756,820,561.06
  5. Step 5: Solve for x
    x = 279,756,820,561.06/513,665.22
  6. Step 6: Final answer
    x = 544,628.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.