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Finding the Fourth Proportional to 413,191.76, 618,458.96 and 213,239.80

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Solution

The fourth proportional to 413,191.76, 618,458.96 and 213,239.80 is: 319,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,191.76 : 618,458.96 = 213,239.80 : x
  2. Step 2: Convert to fraction form
    413,191.76/618,458.96 = 213,239.80/x
  3. Step 3: Cross multiply
    413,191.76x = 618,458.96 × 213,239.80
  4. Step 4: Simplify right side
    413,191.76x = 131,880,064,938.61
  5. Step 5: Solve for x
    x = 131,880,064,938.61/413,191.76
  6. Step 6: Final answer
    x = 319,174.00

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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.