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Finding the Fourth Proportional to 400,642.34, 601,257.53 and 322,697.66

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Solution

The fourth proportional to 400,642.34, 601,257.53 and 322,697.66 is: 484,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,642.34 : 601,257.53 = 322,697.66 : x
  2. Step 2: Convert to fraction form
    400,642.34/601,257.53 = 322,697.66/x
  3. Step 3: Cross multiply
    400,642.34x = 601,257.53 × 322,697.66
  4. Step 4: Simplify right side
    400,642.34x = 194,024,395,788.84
  5. Step 5: Solve for x
    x = 194,024,395,788.84/400,642.34
  6. Step 6: Final answer
    x = 484,283.31

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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.