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Finding the Fourth Proportional to 409,392.72, 565,003.50 and 228,134.16

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Solution

The fourth proportional to 409,392.72, 565,003.50 and 228,134.16 is: 314,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,392.72 : 565,003.50 = 228,134.16 : x
  2. Step 2: Convert to fraction form
    409,392.72/565,003.50 = 228,134.16/x
  3. Step 3: Cross multiply
    409,392.72x = 565,003.50 × 228,134.16
  4. Step 4: Simplify right side
    409,392.72x = 128,896,598,869.56
  5. Step 5: Solve for x
    x = 128,896,598,869.56/409,392.72
  6. Step 6: Final answer
    x = 314,848.29

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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.