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Finding the Fourth Proportional to 522,342.66, 782,505.08 and 385,324.38

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Solution

The fourth proportional to 522,342.66, 782,505.08 and 385,324.38 is: 577,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,342.66 : 782,505.08 = 385,324.38 : x
  2. Step 2: Convert to fraction form
    522,342.66/782,505.08 = 385,324.38/x
  3. Step 3: Cross multiply
    522,342.66x = 782,505.08 × 385,324.38
  4. Step 4: Simplify right side
    522,342.66x = 301,518,282,871.23
  5. Step 5: Solve for x
    x = 301,518,282,871.23/522,342.66
  6. Step 6: Final answer
    x = 577,242.31

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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.