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Finding the Fourth Proportional to 300,186.61, 450,279.91 and 142,328.95

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Solution

The fourth proportional to 300,186.61, 450,279.91 and 142,328.95 is: 213,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,186.61 : 450,279.91 = 142,328.95 : x
  2. Step 2: Convert to fraction form
    300,186.61/450,279.91 = 142,328.95/x
  3. Step 3: Cross multiply
    300,186.61x = 450,279.91 × 142,328.95
  4. Step 4: Simplify right side
    300,186.61x = 64,087,865,848.61
  5. Step 5: Solve for x
    x = 64,087,865,848.61/300,186.61
  6. Step 6: Final answer
    x = 213,493.42

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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.