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Finding the Fourth Proportional to 328,054.72, 452,748.96 and 200,814.40

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Solution

The fourth proportional to 328,054.72, 452,748.96 and 200,814.40 is: 277,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,054.72 : 452,748.96 = 200,814.40 : x
  2. Step 2: Convert to fraction form
    328,054.72/452,748.96 = 200,814.40/x
  3. Step 3: Cross multiply
    328,054.72x = 452,748.96 × 200,814.40
  4. Step 4: Simplify right side
    328,054.72x = 90,918,510,753.02
  5. Step 5: Solve for x
    x = 90,918,510,753.02/328,054.72
  6. Step 6: Final answer
    x = 277,144.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.