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Finding the Fourth Proportional to 702,298.30, 969,169.71 and 380,013.88

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Solution

The fourth proportional to 702,298.30, 969,169.71 and 380,013.88 is: 524,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,298.30 : 969,169.71 = 380,013.88 : x
  2. Step 2: Convert to fraction form
    702,298.30/969,169.71 = 380,013.88/x
  3. Step 3: Cross multiply
    702,298.30x = 969,169.71 × 380,013.88
  4. Step 4: Simplify right side
    702,298.30x = 368,297,941,875.58
  5. Step 5: Solve for x
    x = 368,297,941,875.58/702,298.30
  6. Step 6: Final answer
    x = 524,418.10

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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.