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Finding the Fourth Proportional to 256,292.60, 384,294.92 and 106,432.07

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Solution

The fourth proportional to 256,292.60, 384,294.92 and 106,432.07 is: 159,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,292.60 : 384,294.92 = 106,432.07 : x
  2. Step 2: Convert to fraction form
    256,292.60/384,294.92 = 106,432.07/x
  3. Step 3: Cross multiply
    256,292.60x = 384,294.92 × 106,432.07
  4. Step 4: Simplify right side
    256,292.60x = 40,901,301,372.45
  5. Step 5: Solve for x
    x = 40,901,301,372.45/256,292.60
  6. Step 6: Final answer
    x = 159,588.31

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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.