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Finding the Fourth Proportional to 429,051.44, 643,672.85 and 140,875.92

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Solution

The fourth proportional to 429,051.44, 643,672.85 and 140,875.92 is: 211,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,051.44 : 643,672.85 = 140,875.92 : x
  2. Step 2: Convert to fraction form
    429,051.44/643,672.85 = 140,875.92/x
  3. Step 3: Cross multiply
    429,051.44x = 643,672.85 × 140,875.92
  4. Step 4: Simplify right side
    429,051.44x = 90,678,004,218.39
  5. Step 5: Solve for x
    x = 90,678,004,218.39/429,051.44
  6. Step 6: Final answer
    x = 211,345.30

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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.