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Finding the Fourth Proportional to 403,226.10, 604,839.16 and 278,810.10

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Solution

The fourth proportional to 403,226.10, 604,839.16 and 278,810.10 is: 418,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,226.10 : 604,839.16 = 278,810.10 : x
  2. Step 2: Convert to fraction form
    403,226.10/604,839.16 = 278,810.10/x
  3. Step 3: Cross multiply
    403,226.10x = 604,839.16 × 278,810.10
  4. Step 4: Simplify right side
    403,226.10x = 168,635,266,683.52
  5. Step 5: Solve for x
    x = 168,635,266,683.52/403,226.10
  6. Step 6: Final answer
    x = 418,215.16

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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.