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Finding the Fourth Proportional to 489,697.55, 733,678.05 and 417,891.66

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Solution

The fourth proportional to 489,697.55, 733,678.05 and 417,891.66 is: 626,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,697.55 : 733,678.05 = 417,891.66 : x
  2. Step 2: Convert to fraction form
    489,697.55/733,678.05 = 417,891.66/x
  3. Step 3: Cross multiply
    489,697.55x = 733,678.05 × 417,891.66
  4. Step 4: Simplify right side
    489,697.55x = 306,597,937,035.86
  5. Step 5: Solve for x
    x = 306,597,937,035.86/489,697.55
  6. Step 6: Final answer
    x = 626,096.53

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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.