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Finding the Fourth Proportional to 478,257.64, 717,336.54 and 212,022.76

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Solution

The fourth proportional to 478,257.64, 717,336.54 and 212,022.76 is: 318,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,257.64 : 717,336.54 = 212,022.76 : x
  2. Step 2: Convert to fraction form
    478,257.64/717,336.54 = 212,022.76/x
  3. Step 3: Cross multiply
    478,257.64x = 717,336.54 × 212,022.76
  4. Step 4: Simplify right side
    478,257.64x = 152,091,673,059.65
  5. Step 5: Solve for x
    x = 152,091,673,059.65/478,257.64
  6. Step 6: Final answer
    x = 318,012.01

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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.