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Finding the Fourth Proportional to 402,078.81, 554,878.43 and 218,325.20

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Solution

The fourth proportional to 402,078.81, 554,878.43 and 218,325.20 is: 301,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,078.81 : 554,878.43 = 218,325.20 : x
  2. Step 2: Convert to fraction form
    402,078.81/554,878.43 = 218,325.20/x
  3. Step 3: Cross multiply
    402,078.81x = 554,878.43 × 218,325.20
  4. Step 4: Simplify right side
    402,078.81x = 121,143,944,205.44
  5. Step 5: Solve for x
    x = 121,143,944,205.44/402,078.81
  6. Step 6: Final answer
    x = 301,294.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.