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Finding the Fourth Proportional to 613,507.68, 920,150.72 and 214,262.64

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Solution

The fourth proportional to 613,507.68, 920,150.72 and 214,262.64 is: 321,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,507.68 : 920,150.72 = 214,262.64 : x
  2. Step 2: Convert to fraction form
    613,507.68/920,150.72 = 214,262.64/x
  3. Step 3: Cross multiply
    613,507.68x = 920,150.72 × 214,262.64
  4. Step 4: Simplify right side
    613,507.68x = 197,153,916,793.03
  5. Step 5: Solve for x
    x = 197,153,916,793.03/613,507.68
  6. Step 6: Final answer
    x = 321,355.25

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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.