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Finding the Fourth Proportional to 256,061.96, 353,408.64 and 148,721.84

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Solution

The fourth proportional to 256,061.96, 353,408.64 and 148,721.84 is: 205,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,061.96 : 353,408.64 = 148,721.84 : x
  2. Step 2: Convert to fraction form
    256,061.96/353,408.64 = 148,721.84/x
  3. Step 3: Cross multiply
    256,061.96x = 353,408.64 × 148,721.84
  4. Step 4: Simplify right side
    256,061.96x = 52,559,583,212.70
  5. Step 5: Solve for x
    x = 52,559,583,212.70/256,061.96
  6. Step 6: Final answer
    x = 205,261.19

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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.