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Finding the Fourth Proportional to 702,298.84, 969,165.42 and 380,001.88

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Solution

The fourth proportional to 702,298.84, 969,165.42 and 380,001.88 is: 524,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,298.84 : 969,165.42 = 380,001.88 : x
  2. Step 2: Convert to fraction form
    702,298.84/969,165.42 = 380,001.88/x
  3. Step 3: Cross multiply
    702,298.84x = 969,165.42 × 380,001.88
  4. Step 4: Simplify right side
    702,298.84x = 368,284,681,630.99
  5. Step 5: Solve for x
    x = 368,284,681,630.99/702,298.84
  6. Step 6: Final answer
    x = 524,398.82

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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.