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Finding the Fourth Proportional to 494,842.12, 740,978.34 and 424,216.60

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Solution

The fourth proportional to 494,842.12, 740,978.34 and 424,216.60 is: 635,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,842.12 : 740,978.34 = 424,216.60 : x
  2. Step 2: Convert to fraction form
    494,842.12/740,978.34 = 424,216.60/x
  3. Step 3: Cross multiply
    494,842.12x = 740,978.34 × 424,216.60
  4. Step 4: Simplify right side
    494,842.12x = 314,335,312,068.44
  5. Step 5: Solve for x
    x = 314,335,312,068.44/494,842.12
  6. Step 6: Final answer
    x = 635,223.44

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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.