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Finding the Fourth Proportional to 499,840.96, 689,678.62 and 295,789.76

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Solution

The fourth proportional to 499,840.96, 689,678.62 and 295,789.76 is: 408,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,840.96 : 689,678.62 = 295,789.76 : x
  2. Step 2: Convert to fraction form
    499,840.96/689,678.62 = 295,789.76/x
  3. Step 3: Cross multiply
    499,840.96x = 689,678.62 × 295,789.76
  4. Step 4: Simplify right side
    499,840.96x = 203,999,871,885.36
  5. Step 5: Solve for x
    x = 203,999,871,885.36/499,840.96
  6. Step 6: Final answer
    x = 408,129.56

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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.