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Finding the Fourth Proportional to 645,798.96, 968,776.20 and 213,531.12

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Solution

The fourth proportional to 645,798.96, 968,776.20 and 213,531.12 is: 320,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,798.96 : 968,776.20 = 213,531.12 : x
  2. Step 2: Convert to fraction form
    645,798.96/968,776.20 = 213,531.12/x
  3. Step 3: Cross multiply
    645,798.96x = 968,776.20 × 213,531.12
  4. Step 4: Simplify right side
    645,798.96x = 206,863,867,015.34
  5. Step 5: Solve for x
    x = 206,863,867,015.34/645,798.96
  6. Step 6: Final answer
    x = 320,322.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.