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Finding the Fourth Proportional to 256,292.51, 384,516.72 and 121,459.86

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Solution

The fourth proportional to 256,292.51, 384,516.72 and 121,459.86 is: 182,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,292.51 : 384,516.72 = 121,459.86 : x
  2. Step 2: Convert to fraction form
    256,292.51/384,516.72 = 121,459.86/x
  3. Step 3: Cross multiply
    256,292.51x = 384,516.72 × 121,459.86
  4. Step 4: Simplify right side
    256,292.51x = 46,703,346,978.86
  5. Step 5: Solve for x
    x = 46,703,346,978.86/256,292.51
  6. Step 6: Final answer
    x = 182,226.74

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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.