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Finding the Fourth Proportional to 478,614.92, 717,896.46 and 146,165

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Solution

The fourth proportional to 478,614.92, 717,896.46 and 146,165 is: 219,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,614.92 : 717,896.46 = 146,165 : x
  2. Step 2: Convert to fraction form
    478,614.92/717,896.46 = 146,165/x
  3. Step 3: Cross multiply
    478,614.92x = 717,896.46 × 146,165
  4. Step 4: Simplify right side
    478,614.92x = 104,931,336,075.90
  5. Step 5: Solve for x
    x = 104,931,336,075.90/478,614.92
  6. Step 6: Final answer
    x = 219,239.58

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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.