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Finding the Fourth Proportional to 369,644.38, 510,108.88 and 199,878.10

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Solution

The fourth proportional to 369,644.38, 510,108.88 and 199,878.10 is: 275,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,644.38 : 510,108.88 = 199,878.10 : x
  2. Step 2: Convert to fraction form
    369,644.38/510,108.88 = 199,878.10/x
  3. Step 3: Cross multiply
    369,644.38x = 510,108.88 × 199,878.10
  4. Step 4: Simplify right side
    369,644.38x = 101,959,593,727.53
  5. Step 5: Solve for x
    x = 101,959,593,727.53/369,644.38
  6. Step 6: Final answer
    x = 275,831.58

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1.5x scale

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.