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Finding the Fourth Proportional to 780,343, 1,076,960.87 and 440,833.12

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Solution

The fourth proportional to 780,343, 1,076,960.87 and 440,833.12 is: 608,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,343 : 1,076,960.87 = 440,833.12 : x
  2. Step 2: Convert to fraction form
    780,343/1,076,960.87 = 440,833.12/x
  3. Step 3: Cross multiply
    780,343x = 1,076,960.87 × 440,833.12
  4. Step 4: Simplify right side
    780,343x = 474,760,018,235.85
  5. Step 5: Solve for x
    x = 474,760,018,235.85/780,343
  6. Step 6: Final answer
    x = 608,399.15

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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.