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Finding the Fourth Proportional to 520,830.82, 780,353.32 and 349,731.82

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Solution

The fourth proportional to 520,830.82, 780,353.32 and 349,731.82 is: 523,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,830.82 : 780,353.32 = 349,731.82 : x
  2. Step 2: Convert to fraction form
    520,830.82/780,353.32 = 349,731.82/x
  3. Step 3: Cross multiply
    520,830.82x = 780,353.32 × 349,731.82
  4. Step 4: Simplify right side
    520,830.82x = 272,914,386,846.64
  5. Step 5: Solve for x
    x = 272,914,386,846.64/520,830.82
  6. Step 6: Final answer
    x = 523,998.15

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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.