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Finding the Fourth Proportional to 256,448.46, 353,668.68 and 213,569.58

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Solution

The fourth proportional to 256,448.46, 353,668.68 and 213,569.58 is: 294,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,448.46 : 353,668.68 = 213,569.58 : x
  2. Step 2: Convert to fraction form
    256,448.46/353,668.68 = 213,569.58/x
  3. Step 3: Cross multiply
    256,448.46x = 353,668.68 × 213,569.58
  4. Step 4: Simplify right side
    256,448.46x = 75,532,871,446.75
  5. Step 5: Solve for x
    x = 75,532,871,446.75/256,448.46
  6. Step 6: Final answer
    x = 294,534.31

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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.