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Finding the Fourth Proportional to 661,863.86, 992,894.20 and 306,913.76

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Solution

The fourth proportional to 661,863.86, 992,894.20 and 306,913.76 is: 460,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,863.86 : 992,894.20 = 306,913.76 : x
  2. Step 2: Convert to fraction form
    661,863.86/992,894.20 = 306,913.76/x
  3. Step 3: Cross multiply
    661,863.86x = 992,894.20 × 306,913.76
  4. Step 4: Simplify right side
    661,863.86x = 304,732,886,472.44
  5. Step 5: Solve for x
    x = 304,732,886,472.44/661,863.86
  6. Step 6: Final answer
    x = 460,416.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.