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Finding the Fourth Proportional to 315,411.66, 472,633.02 and 214,078.05

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Solution

The fourth proportional to 315,411.66, 472,633.02 and 214,078.05 is: 320,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,411.66 : 472,633.02 = 214,078.05 : x
  2. Step 2: Convert to fraction form
    315,411.66/472,633.02 = 214,078.05/x
  3. Step 3: Cross multiply
    315,411.66x = 472,633.02 × 214,078.05
  4. Step 4: Simplify right side
    315,411.66x = 101,180,355,287.21
  5. Step 5: Solve for x
    x = 101,180,355,287.21/315,411.66
  6. Step 6: Final answer
    x = 320,788.25

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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.