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Finding the Fourth Proportional to 478,006.35, 717,029.31 and 141,047

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Solution

The fourth proportional to 478,006.35, 717,029.31 and 141,047 is: 211,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,006.35 : 717,029.31 = 141,047 : x
  2. Step 2: Convert to fraction form
    478,006.35/717,029.31 = 141,047/x
  3. Step 3: Cross multiply
    478,006.35x = 717,029.31 × 141,047
  4. Step 4: Simplify right side
    478,006.35x = 101,134,833,087.57
  5. Step 5: Solve for x
    x = 101,134,833,087.57/478,006.35
  6. Step 6: Final answer
    x = 211,576.34

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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.