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Finding the Fourth Proportional to 519,865.66, 717,115.28 and 312,990.22

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Solution

The fourth proportional to 519,865.66, 717,115.28 and 312,990.22 is: 431,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,865.66 : 717,115.28 = 312,990.22 : x
  2. Step 2: Convert to fraction form
    519,865.66/717,115.28 = 312,990.22/x
  3. Step 3: Cross multiply
    519,865.66x = 717,115.28 × 312,990.22
  4. Step 4: Simplify right side
    519,865.66x = 224,450,069,252.56
  5. Step 5: Solve for x
    x = 224,450,069,252.56/519,865.66
  6. Step 6: Final answer
    x = 431,746.29

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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.