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Finding the Fourth Proportional to 780,678, 1,077,335.64 and 422,982

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Solution

The fourth proportional to 780,678, 1,077,335.64 and 422,982 is: 583,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,678 : 1,077,335.64 = 422,982 : x
  2. Step 2: Convert to fraction form
    780,678/1,077,335.64 = 422,982/x
  3. Step 3: Cross multiply
    780,678x = 1,077,335.64 × 422,982
  4. Step 4: Simplify right side
    780,678x = 455,693,583,678.48
  5. Step 5: Solve for x
    x = 455,693,583,678.48/780,678
  6. Step 6: Final answer
    x = 583,715.16

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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.