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Finding the Fourth Proportional to 497,323.86, 745,990.92 and 398,114.64

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Solution

The fourth proportional to 497,323.86, 745,990.92 and 398,114.64 is: 597,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,323.86 : 745,990.92 = 398,114.64 : x
  2. Step 2: Convert to fraction form
    497,323.86/745,990.92 = 398,114.64/x
  3. Step 3: Cross multiply
    497,323.86x = 745,990.92 × 398,114.64
  4. Step 4: Simplify right side
    497,323.86x = 296,989,906,559.07
  5. Step 5: Solve for x
    x = 296,989,906,559.07/497,323.86
  6. Step 6: Final answer
    x = 597,176.07

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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.