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Finding the Fourth Proportional to 780,272, 1,076,775.36 and 422,576

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Solution

The fourth proportional to 780,272, 1,076,775.36 and 422,576 is: 583,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,272 : 1,076,775.36 = 422,576 : x
  2. Step 2: Convert to fraction form
    780,272/1,076,775.36 = 422,576/x
  3. Step 3: Cross multiply
    780,272x = 1,076,775.36 × 422,576
  4. Step 4: Simplify right side
    780,272x = 455,019,424,527.36
  5. Step 5: Solve for x
    x = 455,019,424,527.36/780,272
  6. Step 6: Final answer
    x = 583,154.88

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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.