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Finding the Fourth Proportional to 478,314.31, 717,559.75 and 197,853.43

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Solution

The fourth proportional to 478,314.31, 717,559.75 and 197,853.43 is: 296,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314.31 : 717,559.75 = 197,853.43 : x
  2. Step 2: Convert to fraction form
    478,314.31/717,559.75 = 197,853.43/x
  3. Step 3: Cross multiply
    478,314.31x = 717,559.75 × 197,853.43
  4. Step 4: Simplify right side
    478,314.31x = 141,971,657,767.44
  5. Step 5: Solve for x
    x = 141,971,657,767.44/478,314.31
  6. Step 6: Final answer
    x = 296,816.66

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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.