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Finding the Fourth Proportional to 429,238.54, 643,871.51 and 215,890.01

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Solution

The fourth proportional to 429,238.54, 643,871.51 and 215,890.01 is: 323,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,238.54 : 643,871.51 = 215,890.01 : x
  2. Step 2: Convert to fraction form
    429,238.54/643,871.51 = 215,890.01/x
  3. Step 3: Cross multiply
    429,238.54x = 643,871.51 × 215,890.01
  4. Step 4: Simplify right side
    429,238.54x = 139,005,426,732.62
  5. Step 5: Solve for x
    x = 139,005,426,732.62/429,238.54
  6. Step 6: Final answer
    x = 323,841.91

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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.