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Finding the Fourth Proportional to 402,705.60, 605,370.60 and 285,190.80

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Solution

The fourth proportional to 402,705.60, 605,370.60 and 285,190.80 is: 428,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.60 : 605,370.60 = 285,190.80 : x
  2. Step 2: Convert to fraction form
    402,705.60/605,370.60 = 285,190.80/x
  3. Step 3: Cross multiply
    402,705.60x = 605,370.60 × 285,190.80
  4. Step 4: Simplify right side
    402,705.60x = 172,646,125,710.48
  5. Step 5: Solve for x
    x = 172,646,125,710.48/402,705.60
  6. Step 6: Final answer
    x = 428,715.48

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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.