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Finding the Fourth Proportional to 780,633, 1,077,273.54 and 422,937

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Solution

The fourth proportional to 780,633, 1,077,273.54 and 422,937 is: 583,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,633 : 1,077,273.54 = 422,937 : x
  2. Step 2: Convert to fraction form
    780,633/1,077,273.54 = 422,937/x
  3. Step 3: Cross multiply
    780,633x = 1,077,273.54 × 422,937
  4. Step 4: Simplify right side
    780,633x = 455,618,839,186.98
  5. Step 5: Solve for x
    x = 455,618,839,186.98/780,633
  6. Step 6: Final answer
    x = 583,653.06

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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.