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Finding the Fourth Proportional to 403,214.80, 604,822.20 and 285,116.80

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Solution

The fourth proportional to 403,214.80, 604,822.20 and 285,116.80 is: 427,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214.80 : 604,822.20 = 285,116.80 : x
  2. Step 2: Convert to fraction form
    403,214.80/604,822.20 = 285,116.80/x
  3. Step 3: Cross multiply
    403,214.80x = 604,822.20 × 285,116.80
  4. Step 4: Simplify right side
    403,214.80x = 172,444,970,232.96
  5. Step 5: Solve for x
    x = 172,444,970,232.96/403,214.80
  6. Step 6: Final answer
    x = 427,675.20

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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.