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Finding the Fourth Proportional to 499,430, 749,145.72 and 203,942

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Solution

The fourth proportional to 499,430, 749,145.72 and 203,942 is: 305,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,430 : 749,145.72 = 203,942 : x
  2. Step 2: Convert to fraction form
    499,430/749,145.72 = 203,942/x
  3. Step 3: Cross multiply
    499,430x = 749,145.72 × 203,942
  4. Step 4: Simplify right side
    499,430x = 152,782,276,428.24
  5. Step 5: Solve for x
    x = 152,782,276,428.24/499,430
  6. Step 6: Final answer
    x = 305,913.29

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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.