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Finding the Fourth Proportional to 295,818.30, 443,727.45 and 278,322.30

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Solution

The fourth proportional to 295,818.30, 443,727.45 and 278,322.30 is: 417,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,818.30 : 443,727.45 = 278,322.30 : x
  2. Step 2: Convert to fraction form
    295,818.30/443,727.45 = 278,322.30/x
  3. Step 3: Cross multiply
    295,818.30x = 443,727.45 × 278,322.30
  4. Step 4: Simplify right side
    295,818.30x = 123,499,244,457.14
  5. Step 5: Solve for x
    x = 123,499,244,457.14/295,818.30
  6. Step 6: Final answer
    x = 417,483.45

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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.