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Finding the Fourth Proportional to 413,614.54, 620,953.10 and 318,904.89

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Solution

The fourth proportional to 413,614.54, 620,953.10 and 318,904.89 is: 478,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,614.54 : 620,953.10 = 318,904.89 : x
  2. Step 2: Convert to fraction form
    413,614.54/620,953.10 = 318,904.89/x
  3. Step 3: Cross multiply
    413,614.54x = 620,953.10 × 318,904.89
  4. Step 4: Simplify right side
    413,614.54x = 198,024,980,050.66
  5. Step 5: Solve for x
    x = 198,024,980,050.66/413,614.54
  6. Step 6: Final answer
    x = 478,766.97

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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.