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Finding the Fourth Proportional to 702,424.57, 969,347.62 and 380,137

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Solution

The fourth proportional to 702,424.57, 969,347.62 and 380,137 is: 524,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,424.57 : 969,347.62 = 380,137 : x
  2. Step 2: Convert to fraction form
    702,424.57/969,347.62 = 380,137/x
  3. Step 3: Cross multiply
    702,424.57x = 969,347.62 × 380,137
  4. Step 4: Simplify right side
    702,424.57x = 368,484,896,223.94
  5. Step 5: Solve for x
    x = 368,484,896,223.94/702,424.57
  6. Step 6: Final answer
    x = 524,589.99

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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.