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Finding the Fourth Proportional to 702,318.96, 969,199.02 and 396,459.72

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Solution

The fourth proportional to 702,318.96, 969,199.02 and 396,459.72 is: 547,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,318.96 : 969,199.02 = 396,459.72 : x
  2. Step 2: Convert to fraction form
    702,318.96/969,199.02 = 396,459.72/x
  3. Step 3: Cross multiply
    702,318.96x = 969,199.02 × 396,459.72
  4. Step 4: Simplify right side
    702,318.96x = 384,248,372,093.47
  5. Step 5: Solve for x
    x = 384,248,372,093.47/702,318.96
  6. Step 6: Final answer
    x = 547,113.77

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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.