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Finding the Fourth Proportional to 478,009.17, 717,033.54 and 141,049.82

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Solution

The fourth proportional to 478,009.17, 717,033.54 and 141,049.82 is: 211,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,009.17 : 717,033.54 = 141,049.82 : x
  2. Step 2: Convert to fraction form
    478,009.17/717,033.54 = 141,049.82/x
  3. Step 3: Cross multiply
    478,009.17x = 717,033.54 × 141,049.82
  4. Step 4: Simplify right side
    478,009.17x = 101,137,451,750.96
  5. Step 5: Solve for x
    x = 101,137,451,750.96/478,009.17
  6. Step 6: Final answer
    x = 211,580.57

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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.