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Finding the Fourth Proportional to 409,857.90, 565,602.78 and 228,570.02

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Solution

The fourth proportional to 409,857.90, 565,602.78 and 228,570.02 is: 315,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,857.90 : 565,602.78 = 228,570.02 : x
  2. Step 2: Convert to fraction form
    409,857.90/565,602.78 = 228,570.02/x
  3. Step 3: Cross multiply
    409,857.90x = 565,602.78 × 228,570.02
  4. Step 4: Simplify right side
    409,857.90x = 129,279,838,736.66
  5. Step 5: Solve for x
    x = 129,279,838,736.66/409,857.90
  6. Step 6: Final answer
    x = 315,426.00

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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.