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Finding the Fourth Proportional to 409,569.84, 565,239.24 and 228,340.48

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Solution

The fourth proportional to 409,569.84, 565,239.24 and 228,340.48 is: 315,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,569.84 : 565,239.24 = 228,340.48 : x
  2. Step 2: Convert to fraction form
    409,569.84/565,239.24 = 228,340.48/x
  3. Step 3: Cross multiply
    409,569.84x = 565,239.24 × 228,340.48
  4. Step 4: Simplify right side
    409,569.84x = 129,066,999,376.44
  5. Step 5: Solve for x
    x = 129,066,999,376.44/409,569.84
  6. Step 6: Final answer
    x = 315,128.18

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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.