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Finding the Fourth Proportional to 407,420.77, 611,731.07 and 227,858

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Solution

The fourth proportional to 407,420.77, 611,731.07 and 227,858 is: 342,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,420.77 : 611,731.07 = 227,858 : x
  2. Step 2: Convert to fraction form
    407,420.77/611,731.07 = 227,858/x
  3. Step 3: Cross multiply
    407,420.77x = 611,731.07 × 227,858
  4. Step 4: Simplify right side
    407,420.77x = 139,387,818,148.06
  5. Step 5: Solve for x
    x = 139,387,818,148.06/407,420.77
  6. Step 6: Final answer
    x = 342,122.51

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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.