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Finding the Fourth Proportional to 256,535.40, 384,803.10 and 209,879.40

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Solution

The fourth proportional to 256,535.40, 384,803.10 and 209,879.40 is: 314,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,535.40 : 384,803.10 = 209,879.40 : x
  2. Step 2: Convert to fraction form
    256,535.40/384,803.10 = 209,879.40/x
  3. Step 3: Cross multiply
    256,535.40x = 384,803.10 × 209,879.40
  4. Step 4: Simplify right side
    256,535.40x = 80,762,243,746.14
  5. Step 5: Solve for x
    x = 80,762,243,746.14/256,535.40
  6. Step 6: Final answer
    x = 314,819.10

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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.