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Finding the Fourth Proportional to 429,019.97, 643,699.24 and 162,851.13

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Solution

The fourth proportional to 429,019.97, 643,699.24 and 162,851.13 is: 244,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,019.97 : 643,699.24 = 162,851.13 : x
  2. Step 2: Convert to fraction form
    429,019.97/643,699.24 = 162,851.13/x
  3. Step 3: Cross multiply
    429,019.97x = 643,699.24 × 162,851.13
  4. Step 4: Simplify right side
    429,019.97x = 104,827,148,207.01
  5. Step 5: Solve for x
    x = 104,827,148,207.01/429,019.97
  6. Step 6: Final answer
    x = 244,340.96

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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.