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Finding the Fourth Proportional to 398,060.34, 548,742.93 and 302,400.98

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Solution

The fourth proportional to 398,060.34, 548,742.93 and 302,400.98 is: 416,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,060.34 : 548,742.93 = 302,400.98 : x
  2. Step 2: Convert to fraction form
    398,060.34/548,742.93 = 302,400.98/x
  3. Step 3: Cross multiply
    398,060.34x = 548,742.93 × 302,400.98
  4. Step 4: Simplify right side
    398,060.34x = 165,940,399,800.07
  5. Step 5: Solve for x
    x = 165,940,399,800.07/398,060.34
  6. Step 6: Final answer
    x = 416,872.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.