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Finding the Fourth Proportional to 348,365.52, 522,178.29 and 221,607

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Solution

The fourth proportional to 348,365.52, 522,178.29 and 221,607 is: 332,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,365.52 : 522,178.29 = 221,607 : x
  2. Step 2: Convert to fraction form
    348,365.52/522,178.29 = 221,607/x
  3. Step 3: Cross multiply
    348,365.52x = 522,178.29 × 221,607
  4. Step 4: Simplify right side
    348,365.52x = 115,718,364,312.03
  5. Step 5: Solve for x
    x = 115,718,364,312.03/348,365.52
  6. Step 6: Final answer
    x = 332,175.14

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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.