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Finding the Fourth Proportional to 499,295.72, 689,032.68 and 284,432.60

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Solution

The fourth proportional to 499,295.72, 689,032.68 and 284,432.60 is: 392,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,295.72 : 689,032.68 = 284,432.60 : x
  2. Step 2: Convert to fraction form
    499,295.72/689,032.68 = 284,432.60/x
  3. Step 3: Cross multiply
    499,295.72x = 689,032.68 × 284,432.60
  4. Step 4: Simplify right side
    499,295.72x = 195,983,356,657.37
  5. Step 5: Solve for x
    x = 195,983,356,657.37/499,295.72
  6. Step 6: Final answer
    x = 392,519.60

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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.