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Finding the Fourth Proportional to 403,846.84, 557,312.41 and 222,565.39

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Solution

The fourth proportional to 403,846.84, 557,312.41 and 222,565.39 is: 307,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,846.84 : 557,312.41 = 222,565.39 : x
  2. Step 2: Convert to fraction form
    403,846.84/557,312.41 = 222,565.39/x
  3. Step 3: Cross multiply
    403,846.84x = 557,312.41 × 222,565.39
  4. Step 4: Simplify right side
    403,846.84x = 124,038,453,883.49
  5. Step 5: Solve for x
    x = 124,038,453,883.49/403,846.84
  6. Step 6: Final answer
    x = 307,142.32

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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.