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Finding the Fourth Proportional to 256,286.16, 384,465.96 and 78,808.01

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Solution

The fourth proportional to 256,286.16, 384,465.96 and 78,808.01 is: 118,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,286.16 : 384,465.96 = 78,808.01 : x
  2. Step 2: Convert to fraction form
    256,286.16/384,465.96 = 78,808.01/x
  3. Step 3: Cross multiply
    256,286.16x = 384,465.96 × 78,808.01
  4. Step 4: Simplify right side
    256,286.16x = 30,298,995,298.01
  5. Step 5: Solve for x
    x = 30,298,995,298.01/256,286.16
  6. Step 6: Final answer
    x = 118,223.30

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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.