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Finding the Fourth Proportional to 348,327, 522,578.28 and 99,009

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Solution

The fourth proportional to 348,327, 522,578.28 and 99,009 is: 148,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,327 : 522,578.28 = 99,009 : x
  2. Step 2: Convert to fraction form
    348,327/522,578.28 = 99,009/x
  3. Step 3: Cross multiply
    348,327x = 522,578.28 × 99,009
  4. Step 4: Simplify right side
    348,327x = 51,739,953,295.80
  5. Step 5: Solve for x
    x = 51,739,953,295.80/348,327
  6. Step 6: Final answer
    x = 148,538.45

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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.