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Finding the Fourth Proportional to 529,931.72, 731,410.78 and 300,493.54

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Solution

The fourth proportional to 529,931.72, 731,410.78 and 300,493.54 is: 414,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,931.72 : 731,410.78 = 300,493.54 : x
  2. Step 2: Convert to fraction form
    529,931.72/731,410.78 = 300,493.54/x
  3. Step 3: Cross multiply
    529,931.72x = 731,410.78 × 300,493.54
  4. Step 4: Simplify right side
    529,931.72x = 219,784,214,476.36
  5. Step 5: Solve for x
    x = 219,784,214,476.36/529,931.72
  6. Step 6: Final answer
    x = 414,740.63

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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.