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Finding the Fourth Proportional to 314,764, 434,374.32 and 173,452

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Solution

The fourth proportional to 314,764, 434,374.32 and 173,452 is: 239,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,764 : 434,374.32 = 173,452 : x
  2. Step 2: Convert to fraction form
    314,764/434,374.32 = 173,452/x
  3. Step 3: Cross multiply
    314,764x = 434,374.32 × 173,452
  4. Step 4: Simplify right side
    314,764x = 75,343,094,552.64
  5. Step 5: Solve for x
    x = 75,343,094,552.64/314,764
  6. Step 6: Final answer
    x = 239,363.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.