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Finding the Fourth Proportional to 434,724, 652,144.32 and 185,464.32

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Solution

The fourth proportional to 434,724, 652,144.32 and 185,464.32 is: 278,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,724 : 652,144.32 = 185,464.32 : x
  2. Step 2: Convert to fraction form
    434,724/652,144.32 = 185,464.32/x
  3. Step 3: Cross multiply
    434,724x = 652,144.32 × 185,464.32
  4. Step 4: Simplify right side
    434,724x = 120,949,502,850.66
  5. Step 5: Solve for x
    x = 120,949,502,850.66/434,724
  6. Step 6: Final answer
    x = 278,221.36

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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.