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Finding the Fourth Proportional to 519,811.40, 717,263.42 and 290,340.42

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Solution

The fourth proportional to 519,811.40, 717,263.42 and 290,340.42 is: 400,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,811.40 : 717,263.42 = 290,340.42 : x
  2. Step 2: Convert to fraction form
    519,811.40/717,263.42 = 290,340.42/x
  3. Step 3: Cross multiply
    519,811.40x = 717,263.42 × 290,340.42
  4. Step 4: Simplify right side
    519,811.40x = 208,250,561,161.73
  5. Step 5: Solve for x
    x = 208,250,561,161.73/519,811.40
  6. Step 6: Final answer
    x = 400,627.16

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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.