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Finding the Fourth Proportional to 360,443.61, 497,392.11 and 199,288.98

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Solution

The fourth proportional to 360,443.61, 497,392.11 and 199,288.98 is: 275,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,443.61 : 497,392.11 = 199,288.98 : x
  2. Step 2: Convert to fraction form
    360,443.61/497,392.11 = 199,288.98/x
  3. Step 3: Cross multiply
    360,443.61x = 497,392.11 × 199,288.98
  4. Step 4: Simplify right side
    360,443.61x = 99,124,766,261.95
  5. Step 5: Solve for x
    x = 99,124,766,261.95/360,443.61
  6. Step 6: Final answer
    x = 275,007.69

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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.