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Finding the Fourth Proportional to 776,692.80, 1,071,860.47 and 427,858.50

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Solution

The fourth proportional to 776,692.80, 1,071,860.47 and 427,858.50 is: 590,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,692.80 : 1,071,860.47 = 427,858.50 : x
  2. Step 2: Convert to fraction form
    776,692.80/1,071,860.47 = 427,858.50/x
  3. Step 3: Cross multiply
    776,692.80x = 1,071,860.47 × 427,858.50
  4. Step 4: Simplify right side
    776,692.80x = 458,604,615,853.33
  5. Step 5: Solve for x
    x = 458,604,615,853.33/776,692.80
  6. Step 6: Final answer
    x = 590,458.18

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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.