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Finding the Fourth Proportional to 409,860.51, 565,606.40 and 228,572.64

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Solution

The fourth proportional to 409,860.51, 565,606.40 and 228,572.64 is: 315,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,860.51 : 565,606.40 = 228,572.64 : x
  2. Step 2: Convert to fraction form
    409,860.51/565,606.40 = 228,572.64/x
  3. Step 3: Cross multiply
    409,860.51x = 565,606.40 × 228,572.64
  4. Step 4: Simplify right side
    409,860.51x = 129,282,146,906.03
  5. Step 5: Solve for x
    x = 129,282,146,906.03/409,860.51
  6. Step 6: Final answer
    x = 315,429.62

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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.