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Finding the Fourth Proportional to 402,978.60, 604,295.10 and 203,221.80

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Solution

The fourth proportional to 402,978.60, 604,295.10 and 203,221.80 is: 304,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,978.60 : 604,295.10 = 203,221.80 : x
  2. Step 2: Convert to fraction form
    402,978.60/604,295.10 = 203,221.80/x
  3. Step 3: Cross multiply
    402,978.60x = 604,295.10 × 203,221.80
  4. Step 4: Simplify right side
    402,978.60x = 122,805,937,953.18
  5. Step 5: Solve for x
    x = 122,805,937,953.18/402,978.60
  6. Step 6: Final answer
    x = 304,745.56

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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.