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Finding the Fourth Proportional to 256,211.40, 384,317.10 and 89,999.40

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Solution

The fourth proportional to 256,211.40, 384,317.10 and 89,999.40 is: 134,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.40 : 384,317.10 = 89,999.40 : x
  2. Step 2: Convert to fraction form
    256,211.40/384,317.10 = 89,999.40/x
  3. Step 3: Cross multiply
    256,211.40x = 384,317.10 × 89,999.40
  4. Step 4: Simplify right side
    256,211.40x = 34,588,308,409.74
  5. Step 5: Solve for x
    x = 34,588,308,409.74/256,211.40
  6. Step 6: Final answer
    x = 134,999.10

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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.