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Finding the Fourth Proportional to 399,587.50, 551,430.75 and 220,739.50

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Solution

The fourth proportional to 399,587.50, 551,430.75 and 220,739.50 is: 304,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,587.50 : 551,430.75 = 220,739.50 : x
  2. Step 2: Convert to fraction form
    399,587.50/551,430.75 = 220,739.50/x
  3. Step 3: Cross multiply
    399,587.50x = 551,430.75 × 220,739.50
  4. Step 4: Simplify right side
    399,587.50x = 121,722,548,039.63
  5. Step 5: Solve for x
    x = 121,722,548,039.63/399,587.50
  6. Step 6: Final answer
    x = 304,620.51

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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.