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Finding the Fourth Proportional to 520,468.23, 779,810.46 and 349,369.65

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Solution

The fourth proportional to 520,468.23, 779,810.46 and 349,369.65 is: 523,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,468.23 : 779,810.46 = 349,369.65 : x
  2. Step 2: Convert to fraction form
    520,468.23/779,810.46 = 349,369.65/x
  3. Step 3: Cross multiply
    520,468.23x = 779,810.46 × 349,369.65
  4. Step 4: Simplify right side
    520,468.23x = 272,442,105,729.69
  5. Step 5: Solve for x
    x = 272,442,105,729.69/520,468.23
  6. Step 6: Final answer
    x = 523,455.78

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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.