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Finding the Fourth Proportional to 702,468.78, 969,405.10 and 380,178.80

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Solution

The fourth proportional to 702,468.78, 969,405.10 and 380,178.80 is: 524,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,468.78 : 969,405.10 = 380,178.80 : x
  2. Step 2: Convert to fraction form
    702,468.78/969,405.10 = 380,178.80/x
  3. Step 3: Cross multiply
    702,468.78x = 969,405.10 × 380,178.80
  4. Step 4: Simplify right side
    702,468.78x = 368,547,260,883.96
  5. Step 5: Solve for x
    x = 368,547,260,883.96/702,468.78
  6. Step 6: Final answer
    x = 524,645.75

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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.