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Finding the Fourth Proportional to 399,685.44, 551,304.72 and 256,218.24

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Solution

The fourth proportional to 399,685.44, 551,304.72 and 256,218.24 is: 353,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,685.44 : 551,304.72 = 256,218.24 : x
  2. Step 2: Convert to fraction form
    399,685.44/551,304.72 = 256,218.24/x
  3. Step 3: Cross multiply
    399,685.44x = 551,304.72 × 256,218.24
  4. Step 4: Simplify right side
    399,685.44x = 141,254,325,062.09
  5. Step 5: Solve for x
    x = 141,254,325,062.09/399,685.44
  6. Step 6: Final answer
    x = 353,413.74

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1.5x scale

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.