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Finding the Fourth Proportional to 256,293.51, 384,518.22 and 121,460.86

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Solution

The fourth proportional to 256,293.51, 384,518.22 and 121,460.86 is: 182,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,293.51 : 384,518.22 = 121,460.86 : x
  2. Step 2: Convert to fraction form
    256,293.51/384,518.22 = 121,460.86/x
  3. Step 3: Cross multiply
    256,293.51x = 384,518.22 × 121,460.86
  4. Step 4: Simplify right side
    256,293.51x = 46,703,913,686.87
  5. Step 5: Solve for x
    x = 46,703,913,686.87/256,293.51
  6. Step 6: Final answer
    x = 182,228.23

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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.