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Finding the Fourth Proportional to 682,386, 941,692.68 and 380,580

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Solution

The fourth proportional to 682,386, 941,692.68 and 380,580 is: 525,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,386 : 941,692.68 = 380,580 : x
  2. Step 2: Convert to fraction form
    682,386/941,692.68 = 380,580/x
  3. Step 3: Cross multiply
    682,386x = 941,692.68 × 380,580
  4. Step 4: Simplify right side
    682,386x = 358,389,400,154.40
  5. Step 5: Solve for x
    x = 358,389,400,154.40/682,386
  6. Step 6: Final answer
    x = 525,200.40

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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.