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Finding the Fourth Proportional to 478,045.72, 717,088.38 and 141,086.44

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Solution

The fourth proportional to 478,045.72, 717,088.38 and 141,086.44 is: 211,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,045.72 : 717,088.38 = 141,086.44 : x
  2. Step 2: Convert to fraction form
    478,045.72/717,088.38 = 141,086.44/x
  3. Step 3: Cross multiply
    478,045.72x = 717,088.38 × 141,086.44
  4. Step 4: Simplify right side
    478,045.72x = 101,171,446,699.57
  5. Step 5: Solve for x
    x = 101,171,446,699.57/478,045.72
  6. Step 6: Final answer
    x = 211,635.50

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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.