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Finding the Fourth Proportional to 714,062.32, 985,388.19 and 399,729.82

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Solution

The fourth proportional to 714,062.32, 985,388.19 and 399,729.82 is: 551,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,062.32 : 985,388.19 = 399,729.82 : x
  2. Step 2: Convert to fraction form
    714,062.32/985,388.19 = 399,729.82/x
  3. Step 3: Cross multiply
    714,062.32x = 985,388.19 × 399,729.82
  4. Step 4: Simplify right side
    714,062.32x = 393,889,041,703.97
  5. Step 5: Solve for x
    x = 393,889,041,703.97/714,062.32
  6. Step 6: Final answer
    x = 551,617.18

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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.