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Finding the Fourth Proportional to 409,929.79, 565,703.89 and 228,653.46

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Solution

The fourth proportional to 409,929.79, 565,703.89 and 228,653.46 is: 315,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,929.79 : 565,703.89 = 228,653.46 : x
  2. Step 2: Convert to fraction form
    409,929.79/565,703.89 = 228,653.46/x
  3. Step 3: Cross multiply
    409,929.79x = 565,703.89 × 228,653.46
  4. Step 4: Simplify right side
    409,929.79x = 129,350,153,446.46
  5. Step 5: Solve for x
    x = 129,350,153,446.46/409,929.79
  6. Step 6: Final answer
    x = 315,542.21

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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.