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Finding the Fourth Proportional to 400,404.60, 599,732.10 and 310,956.30

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Solution

The fourth proportional to 400,404.60, 599,732.10 and 310,956.30 is: 465,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,404.60 : 599,732.10 = 310,956.30 : x
  2. Step 2: Convert to fraction form
    400,404.60/599,732.10 = 310,956.30/x
  3. Step 3: Cross multiply
    400,404.60x = 599,732.10 × 310,956.30
  4. Step 4: Simplify right side
    400,404.60x = 186,490,474,807.23
  5. Step 5: Solve for x
    x = 186,490,474,807.23/400,404.60
  6. Step 6: Final answer
    x = 465,755.08

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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.