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Finding the Fourth Proportional to 312,137.40, 467,514.90 and 256,841.40

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Solution

The fourth proportional to 312,137.40, 467,514.90 and 256,841.40 is: 384,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,137.40 : 467,514.90 = 256,841.40 : x
  2. Step 2: Convert to fraction form
    312,137.40/467,514.90 = 256,841.40/x
  3. Step 3: Cross multiply
    312,137.40x = 467,514.90 × 256,841.40
  4. Step 4: Simplify right side
    312,137.40x = 120,077,181,436.86
  5. Step 5: Solve for x
    x = 120,077,181,436.86/312,137.40
  6. Step 6: Final answer
    x = 384,693.35

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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.