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Finding the Fourth Proportional to 429,458.52, 643,936.14 and 287,465.52

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Solution

The fourth proportional to 429,458.52, 643,936.14 and 287,465.52 is: 431,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,458.52 : 643,936.14 = 287,465.52 : x
  2. Step 2: Convert to fraction form
    429,458.52/643,936.14 = 287,465.52/x
  3. Step 3: Cross multiply
    429,458.52x = 643,936.14 × 287,465.52
  4. Step 4: Simplify right side
    429,458.52x = 185,109,437,331.89
  5. Step 5: Solve for x
    x = 185,109,437,331.89/429,458.52
  6. Step 6: Final answer
    x = 431,029.84

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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.