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Finding the Fourth Proportional to 256,241.59, 383,476.65 and 160,144.81

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Solution

The fourth proportional to 256,241.59, 383,476.65 and 160,144.81 is: 239,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,241.59 : 383,476.65 = 160,144.81 : x
  2. Step 2: Convert to fraction form
    256,241.59/383,476.65 = 160,144.81/x
  3. Step 3: Cross multiply
    256,241.59x = 383,476.65 × 160,144.81
  4. Step 4: Simplify right side
    256,241.59x = 61,411,795,253.69
  5. Step 5: Solve for x
    x = 61,411,795,253.69/256,241.59
  6. Step 6: Final answer
    x = 239,663.65

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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.