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Finding the Fourth Proportional to 354,349.62, 530,923.01 and 213,813

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Solution

The fourth proportional to 354,349.62, 530,923.01 and 213,813 is: 320,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,349.62 : 530,923.01 = 213,813 : x
  2. Step 2: Convert to fraction form
    354,349.62/530,923.01 = 213,813/x
  3. Step 3: Cross multiply
    354,349.62x = 530,923.01 × 213,813
  4. Step 4: Simplify right side
    354,349.62x = 113,518,240,468.07
  5. Step 5: Solve for x
    x = 113,518,240,468.07/354,349.62
  6. Step 6: Final answer
    x = 320,356.60

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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.