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Finding the Fourth Proportional to 702,692.49, 969,715.95 and 380,402.58

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Solution

The fourth proportional to 702,692.49, 969,715.95 and 380,402.58 is: 524,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,692.49 : 969,715.95 = 380,402.58 : x
  2. Step 2: Convert to fraction form
    702,692.49/969,715.95 = 380,402.58/x
  3. Step 3: Cross multiply
    702,692.49x = 969,715.95 × 380,402.58
  4. Step 4: Simplify right side
    702,692.49x = 368,882,448,142.19
  5. Step 5: Solve for x
    x = 368,882,448,142.19/702,692.49
  6. Step 6: Final answer
    x = 524,955.73

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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.