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Finding the Fourth Proportional to 312,153.40, 467,538.90 and 256,857.40

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Solution

The fourth proportional to 312,153.40, 467,538.90 and 256,857.40 is: 384,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,153.40 : 467,538.90 = 256,857.40 : x
  2. Step 2: Convert to fraction form
    312,153.40/467,538.90 = 256,857.40/x
  3. Step 3: Cross multiply
    312,153.40x = 467,538.90 × 256,857.40
  4. Step 4: Simplify right side
    312,153.40x = 120,090,826,252.86
  5. Step 5: Solve for x
    x = 120,090,826,252.86/312,153.40
  6. Step 6: Final answer
    x = 384,717.34

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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.