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Finding the Fourth Proportional to 654,390.82, 902,690.52 and 392,678.43

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Solution

The fourth proportional to 654,390.82, 902,690.52 and 392,678.43 is: 541,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,390.82 : 902,690.52 = 392,678.43 : x
  2. Step 2: Convert to fraction form
    654,390.82/902,690.52 = 392,678.43/x
  3. Step 3: Cross multiply
    654,390.82x = 902,690.52 × 392,678.43
  4. Step 4: Simplify right side
    654,390.82x = 354,467,094,060.35
  5. Step 5: Solve for x
    x = 354,467,094,060.35/654,390.82
  6. Step 6: Final answer
    x = 541,674.92

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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.