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Finding the Fourth Proportional to 499,165.89, 688,990.23 and 295,287.68

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Solution

The fourth proportional to 499,165.89, 688,990.23 and 295,287.68 is: 407,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,165.89 : 688,990.23 = 295,287.68 : x
  2. Step 2: Convert to fraction form
    499,165.89/688,990.23 = 295,287.68/x
  3. Step 3: Cross multiply
    499,165.89x = 688,990.23 × 295,287.68
  4. Step 4: Simplify right side
    499,165.89x = 203,450,323,114.42
  5. Step 5: Solve for x
    x = 203,450,323,114.42/499,165.89
  6. Step 6: Final answer
    x = 407,580.58

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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.