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Finding the Fourth Proportional to 298,490.44, 411,783.72 and 201,663.16

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Solution

The fourth proportional to 298,490.44, 411,783.72 and 201,663.16 is: 278,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,490.44 : 411,783.72 = 201,663.16 : x
  2. Step 2: Convert to fraction form
    298,490.44/411,783.72 = 201,663.16/x
  3. Step 3: Cross multiply
    298,490.44x = 411,783.72 × 201,663.16
  4. Step 4: Simplify right side
    298,490.44x = 83,041,606,211.76
  5. Step 5: Solve for x
    x = 83,041,606,211.76/298,490.44
  6. Step 6: Final answer
    x = 278,205.25

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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.