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Finding the Fourth Proportional to 348,718.88, 523,603.20 and 199,128.08

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Solution

The fourth proportional to 348,718.88, 523,603.20 and 199,128.08 is: 298,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,718.88 : 523,603.20 = 199,128.08 : x
  2. Step 2: Convert to fraction form
    348,718.88/523,603.20 = 199,128.08/x
  3. Step 3: Cross multiply
    348,718.88x = 523,603.20 × 199,128.08
  4. Step 4: Simplify right side
    348,718.88x = 104,264,099,897.86
  5. Step 5: Solve for x
    x = 104,264,099,897.86/348,718.88
  6. Step 6: Final answer
    x = 298,991.84

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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.