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Finding the Fourth Proportional to 569,329.95, 785,692.04 and 311,221.16

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Solution

The fourth proportional to 569,329.95, 785,692.04 and 311,221.16 is: 429,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,329.95 : 785,692.04 = 311,221.16 : x
  2. Step 2: Convert to fraction form
    569,329.95/785,692.04 = 311,221.16/x
  3. Step 3: Cross multiply
    569,329.95x = 785,692.04 × 311,221.16
  4. Step 4: Simplify right side
    569,329.95x = 244,523,982,607.00
  5. Step 5: Solve for x
    x = 244,523,982,607.00/569,329.95
  6. Step 6: Final answer
    x = 429,494.33

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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.