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Finding the Fourth Proportional to 273,212.10, 409,818.15 and 256,590.90

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Solution

The fourth proportional to 273,212.10, 409,818.15 and 256,590.90 is: 384,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,212.10 : 409,818.15 = 256,590.90 : x
  2. Step 2: Convert to fraction form
    273,212.10/409,818.15 = 256,590.90/x
  3. Step 3: Cross multiply
    273,212.10x = 409,818.15 × 256,590.90
  4. Step 4: Simplify right side
    273,212.10x = 105,155,607,944.84
  5. Step 5: Solve for x
    x = 105,155,607,944.84/273,212.10
  6. Step 6: Final answer
    x = 384,886.35

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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.