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Finding the Fourth Proportional to 369,456.80, 509,840.12 and 208,310.48

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Solution

The fourth proportional to 369,456.80, 509,840.12 and 208,310.48 is: 287,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,456.80 : 509,840.12 = 208,310.48 : x
  2. Step 2: Convert to fraction form
    369,456.80/509,840.12 = 208,310.48/x
  3. Step 3: Cross multiply
    369,456.80x = 509,840.12 × 208,310.48
  4. Step 4: Simplify right side
    369,456.80x = 106,205,040,120.46
  5. Step 5: Solve for x
    x = 106,205,040,120.46/369,456.80
  6. Step 6: Final answer
    x = 287,462.68

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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.