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Finding the Fourth Proportional to 409,663.64, 565,179.72 and 302,490.92

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Solution

The fourth proportional to 409,663.64, 565,179.72 and 302,490.92 is: 417,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,663.64 : 565,179.72 = 302,490.92 : x
  2. Step 2: Convert to fraction form
    409,663.64/565,179.72 = 302,490.92/x
  3. Step 3: Cross multiply
    409,663.64x = 565,179.72 × 302,490.92
  4. Step 4: Simplify right side
    409,663.64x = 170,961,733,468.14
  5. Step 5: Solve for x
    x = 170,961,733,468.14/409,663.64
  6. Step 6: Final answer
    x = 417,322.20

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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.