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Finding the Fourth Proportional to 702,705.24, 969,733.80 and 380,418.12

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Solution

The fourth proportional to 702,705.24, 969,733.80 and 380,418.12 is: 524,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,705.24 : 969,733.80 = 380,418.12 : x
  2. Step 2: Convert to fraction form
    702,705.24/969,733.80 = 380,418.12/x
  3. Step 3: Cross multiply
    702,705.24x = 969,733.80 × 380,418.12
  4. Step 4: Simplify right side
    702,705.24x = 368,904,309,096.46
  5. Step 5: Solve for x
    x = 368,904,309,096.46/702,705.24
  6. Step 6: Final answer
    x = 524,977.31

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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.