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Finding the Fourth Proportional to 702,689.11, 969,710.81 and 380,398.95

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Solution

The fourth proportional to 702,689.11, 969,710.81 and 380,398.95 is: 524,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,689.11 : 969,710.81 = 380,398.95 : x
  2. Step 2: Convert to fraction form
    702,689.11/969,710.81 = 380,398.95/x
  3. Step 3: Cross multiply
    702,689.11x = 969,710.81 × 380,398.95
  4. Step 4: Simplify right side
    702,689.11x = 368,876,972,025.66
  5. Step 5: Solve for x
    x = 368,876,972,025.66/702,689.11
  6. Step 6: Final answer
    x = 524,950.46

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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.