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Finding the Fourth Proportional to 478,313.31, 717,558.25 and 197,852.43

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Solution

The fourth proportional to 478,313.31, 717,558.25 and 197,852.43 is: 296,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,313.31 : 717,558.25 = 197,852.43 : x
  2. Step 2: Convert to fraction form
    478,313.31/717,558.25 = 197,852.43/x
  3. Step 3: Cross multiply
    478,313.31x = 717,558.25 × 197,852.43
  4. Step 4: Simplify right side
    478,313.31x = 141,970,643,429.05
  5. Step 5: Solve for x
    x = 141,970,643,429.05/478,313.31
  6. Step 6: Final answer
    x = 296,815.16

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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.