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Finding the Fourth Proportional to 256,459.68, 384,345.64 and 199,602.26

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Solution

The fourth proportional to 256,459.68, 384,345.64 and 199,602.26 is: 299,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,459.68 : 384,345.64 = 199,602.26 : x
  2. Step 2: Convert to fraction form
    256,459.68/384,345.64 = 199,602.26/x
  3. Step 3: Cross multiply
    256,459.68x = 384,345.64 × 199,602.26
  4. Step 4: Simplify right side
    256,459.68x = 76,716,258,365.15
  5. Step 5: Solve for x
    x = 76,716,258,365.15/256,459.68
  6. Step 6: Final answer
    x = 299,135.75

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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.