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Finding the Fourth Proportional to 369,098.52, 509,355.88 and 199,332.60

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Solution

The fourth proportional to 369,098.52, 509,355.88 and 199,332.60 is: 275,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,098.52 : 509,355.88 = 199,332.60 : x
  2. Step 2: Convert to fraction form
    369,098.52/509,355.88 = 199,332.60/x
  3. Step 3: Cross multiply
    369,098.52x = 509,355.88 × 199,332.60
  4. Step 4: Simplify right side
    369,098.52x = 101,531,231,885.69
  5. Step 5: Solve for x
    x = 101,531,231,885.69/369,098.52
  6. Step 6: Final answer
    x = 275,078.95

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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.