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Finding the Fourth Proportional to 214,642.94, 296,238.06 and 128,605.32

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Solution

The fourth proportional to 214,642.94, 296,238.06 and 128,605.32 is: 177,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.94 : 296,238.06 = 128,605.32 : x
  2. Step 2: Convert to fraction form
    214,642.94/296,238.06 = 128,605.32/x
  3. Step 3: Cross multiply
    214,642.94x = 296,238.06 × 128,605.32
  4. Step 4: Simplify right side
    214,642.94x = 38,097,790,502.48
  5. Step 5: Solve for x
    x = 38,097,790,502.48/214,642.94
  6. Step 6: Final answer
    x = 177,493.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.