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Finding the Fourth Proportional to 654,339.12, 902,978.44 and 363,947.64

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Solution

The fourth proportional to 654,339.12, 902,978.44 and 363,947.64 is: 502,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,339.12 : 902,978.44 = 363,947.64 : x
  2. Step 2: Convert to fraction form
    654,339.12/902,978.44 = 363,947.64/x
  3. Step 3: Cross multiply
    654,339.12x = 902,978.44 × 363,947.64
  4. Step 4: Simplify right side
    654,339.12x = 328,636,872,208.88
  5. Step 5: Solve for x
    x = 328,636,872,208.88/654,339.12
  6. Step 6: Final answer
    x = 502,242.43

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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.