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Finding the Fourth Proportional to 409,578.60, 565,221.04 and 228,301.98

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Solution

The fourth proportional to 409,578.60, 565,221.04 and 228,301.98 is: 315,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,578.60 : 565,221.04 = 228,301.98 : x
  2. Step 2: Convert to fraction form
    409,578.60/565,221.04 = 228,301.98/x
  3. Step 3: Cross multiply
    409,578.60x = 565,221.04 × 228,301.98
  4. Step 4: Simplify right side
    409,578.60x = 129,041,082,569.66
  5. Step 5: Solve for x
    x = 129,041,082,569.66/409,578.60
  6. Step 6: Final answer
    x = 315,058.17

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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.