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Finding the Fourth Proportional to 442,875.70, 664,313.55 and 400,885.30

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Solution

The fourth proportional to 442,875.70, 664,313.55 and 400,885.30 is: 601,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,875.70 : 664,313.55 = 400,885.30 : x
  2. Step 2: Convert to fraction form
    442,875.70/664,313.55 = 400,885.30/x
  3. Step 3: Cross multiply
    442,875.70x = 664,313.55 × 400,885.30
  4. Step 4: Simplify right side
    442,875.70x = 266,313,536,785.82
  5. Step 5: Solve for x
    x = 266,313,536,785.82/442,875.70
  6. Step 6: Final answer
    x = 601,327.95

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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.