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Finding the Fourth Proportional to 409,600.32, 565,251 and 228,323.76

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Solution

The fourth proportional to 409,600.32, 565,251 and 228,323.76 is: 315,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,600.32 : 565,251 = 228,323.76 : x
  2. Step 2: Convert to fraction form
    409,600.32/565,251 = 228,323.76/x
  3. Step 3: Cross multiply
    409,600.32x = 565,251 × 228,323.76
  4. Step 4: Simplify right side
    409,600.32x = 129,060,233,663.76
  5. Step 5: Solve for x
    x = 129,060,233,663.76/409,600.32
  6. Step 6: Final answer
    x = 315,088.21

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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.