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Finding the Fourth Proportional to 298,618.20, 447,927.30 and 186,643.80

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Solution

The fourth proportional to 298,618.20, 447,927.30 and 186,643.80 is: 279,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,618.20 : 447,927.30 = 186,643.80 : x
  2. Step 2: Convert to fraction form
    298,618.20/447,927.30 = 186,643.80/x
  3. Step 3: Cross multiply
    298,618.20x = 447,927.30 × 186,643.80
  4. Step 4: Simplify right side
    298,618.20x = 83,602,853,395.74
  5. Step 5: Solve for x
    x = 83,602,853,395.74/298,618.20
  6. Step 6: Final answer
    x = 279,965.70

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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.