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Finding the Fourth Proportional to 700,688.21, 966,949.65 and 378,398.32

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Solution

The fourth proportional to 700,688.21, 966,949.65 and 378,398.32 is: 522,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,688.21 : 966,949.65 = 378,398.32 : x
  2. Step 2: Convert to fraction form
    700,688.21/966,949.65 = 378,398.32/x
  3. Step 3: Cross multiply
    700,688.21x = 966,949.65 × 378,398.32
  4. Step 4: Simplify right side
    700,688.21x = 365,892,120,667.21
  5. Step 5: Solve for x
    x = 365,892,120,667.21/700,688.21
  6. Step 6: Final answer
    x = 522,189.64

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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.