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Finding the Fourth Proportional to 727,507.37, 1,003,960.37 and 421,760.97

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Solution

The fourth proportional to 727,507.37, 1,003,960.37 and 421,760.97 is: 582,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,507.37 : 1,003,960.37 = 421,760.97 : x
  2. Step 2: Convert to fraction form
    727,507.37/1,003,960.37 = 421,760.97/x
  3. Step 3: Cross multiply
    727,507.37x = 1,003,960.37 × 421,760.97
  4. Step 4: Simplify right side
    727,507.37x = 423,431,300,547.16
  5. Step 5: Solve for x
    x = 423,431,300,547.16/727,507.37
  6. Step 6: Final answer
    x = 582,030.25

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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.