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Finding the Fourth Proportional to 780,645, 1,077,290.16 and 422,949

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Solution

The fourth proportional to 780,645, 1,077,290.16 and 422,949 is: 583,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,645 : 1,077,290.16 = 422,949 : x
  2. Step 2: Convert to fraction form
    780,645/1,077,290.16 = 422,949/x
  3. Step 3: Cross multiply
    780,645x = 1,077,290.16 × 422,949
  4. Step 4: Simplify right side
    780,645x = 455,638,795,881.84
  5. Step 5: Solve for x
    x = 455,638,795,881.84/780,645
  6. Step 6: Final answer
    x = 583,669.65

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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.