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Finding the Fourth Proportional to 215,612.64, 323,416.80 and 153,676.80

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Solution

The fourth proportional to 215,612.64, 323,416.80 and 153,676.80 is: 230,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,612.64 : 323,416.80 = 153,676.80 : x
  2. Step 2: Convert to fraction form
    215,612.64/323,416.80 = 153,676.80/x
  3. Step 3: Cross multiply
    215,612.64x = 323,416.80 × 153,676.80
  4. Step 4: Simplify right side
    215,612.64x = 49,701,658,890.24
  5. Step 5: Solve for x
    x = 49,701,658,890.24/215,612.64
  6. Step 6: Final answer
    x = 230,513.66

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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.