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Finding the Fourth Proportional to 429,603.65, 643,876.24 and 176,726.31

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Solution

The fourth proportional to 429,603.65, 643,876.24 and 176,726.31 is: 264,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,603.65 : 643,876.24 = 176,726.31 : x
  2. Step 2: Convert to fraction form
    429,603.65/643,876.24 = 176,726.31/x
  3. Step 3: Cross multiply
    429,603.65x = 643,876.24 × 176,726.31
  4. Step 4: Simplify right side
    429,603.65x = 113,789,871,991.87
  5. Step 5: Solve for x
    x = 113,789,871,991.87/429,603.65
  6. Step 6: Final answer
    x = 264,871.75

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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.