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Finding the Fourth Proportional to 613,770.13, 921,141.20 and 259,029.01

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Solution

The fourth proportional to 613,770.13, 921,141.20 and 259,029.01 is: 388,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,770.13 : 921,141.20 = 259,029.01 : x
  2. Step 2: Convert to fraction form
    613,770.13/921,141.20 = 259,029.01/x
  3. Step 3: Cross multiply
    613,770.13x = 921,141.20 × 259,029.01
  4. Step 4: Simplify right side
    613,770.13x = 238,602,293,106.21
  5. Step 5: Solve for x
    x = 238,602,293,106.21/613,770.13
  6. Step 6: Final answer
    x = 388,748.62

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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.