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Finding the Fourth Proportional to 702,709.14, 969,734.18 and 380,416.90

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Solution

The fourth proportional to 702,709.14, 969,734.18 and 380,416.90 is: 524,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,709.14 : 969,734.18 = 380,416.90 : x
  2. Step 2: Convert to fraction form
    702,709.14/969,734.18 = 380,416.90/x
  3. Step 3: Cross multiply
    702,709.14x = 969,734.18 × 380,416.90
  4. Step 4: Simplify right side
    702,709.14x = 368,903,270,579.64
  5. Step 5: Solve for x
    x = 368,903,270,579.64/702,709.14
  6. Step 6: Final answer
    x = 524,972.92

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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.