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Finding the Fourth Proportional to 256,323.60, 384,485.40 and 106,514.10

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Solution

The fourth proportional to 256,323.60, 384,485.40 and 106,514.10 is: 159,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,323.60 : 384,485.40 = 106,514.10 : x
  2. Step 2: Convert to fraction form
    256,323.60/384,485.40 = 106,514.10/x
  3. Step 3: Cross multiply
    256,323.60x = 384,485.40 × 106,514.10
  4. Step 4: Simplify right side
    256,323.60x = 40,953,116,344.14
  5. Step 5: Solve for x
    x = 40,953,116,344.14/256,323.60
  6. Step 6: Final answer
    x = 159,771.15

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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.