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Finding the Fourth Proportional to 412,838, 619,361.04 and 117,350

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Solution

The fourth proportional to 412,838, 619,361.04 and 117,350 is: 176,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,838 : 619,361.04 = 117,350 : x
  2. Step 2: Convert to fraction form
    412,838/619,361.04 = 117,350/x
  3. Step 3: Cross multiply
    412,838x = 619,361.04 × 117,350
  4. Step 4: Simplify right side
    412,838x = 72,682,018,044
  5. Step 5: Solve for x
    x = 72,682,018,044/412,838
  6. Step 6: Final answer
    x = 176,054.57

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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.