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Finding the Fourth Proportional to 499,646.89, 689,495.52 and 284,856.13

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Solution

The fourth proportional to 499,646.89, 689,495.52 and 284,856.13 is: 393,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,646.89 : 689,495.52 = 284,856.13 : x
  2. Step 2: Convert to fraction form
    499,646.89/689,495.52 = 284,856.13/x
  3. Step 3: Cross multiply
    499,646.89x = 689,495.52 × 284,856.13
  4. Step 4: Simplify right side
    499,646.89x = 196,407,025,479.54
  5. Step 5: Solve for x
    x = 196,407,025,479.54/499,646.89
  6. Step 6: Final answer
    x = 393,091.66

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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.