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Finding the Fourth Proportional to 702,698.47, 969,724.19 and 380,408.56

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Solution

The fourth proportional to 702,698.47, 969,724.19 and 380,408.56 is: 524,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,698.47 : 969,724.19 = 380,408.56 : x
  2. Step 2: Convert to fraction form
    702,698.47/969,724.19 = 380,408.56/x
  3. Step 3: Cross multiply
    702,698.47x = 969,724.19 × 380,408.56
  4. Step 4: Simplify right side
    702,698.47x = 368,891,382,715.07
  5. Step 5: Solve for x
    x = 368,891,382,715.07/702,698.47
  6. Step 6: Final answer
    x = 524,963.98

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1.5x scale

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.