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Finding the Fourth Proportional to 385,446.72, 578,416.86 and 208,077.24

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Solution

The fourth proportional to 385,446.72, 578,416.86 and 208,077.24 is: 312,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,446.72 : 578,416.86 = 208,077.24 : x
  2. Step 2: Convert to fraction form
    385,446.72/578,416.86 = 208,077.24/x
  3. Step 3: Cross multiply
    385,446.72x = 578,416.86 × 208,077.24
  4. Step 4: Simplify right side
    385,446.72x = 120,355,383,798.27
  5. Step 5: Solve for x
    x = 120,355,383,798.27/385,446.72
  6. Step 6: Final answer
    x = 312,249.08

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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.