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Finding the Fourth Proportional to 314,056, 433,401.60 and 179,920

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Solution

The fourth proportional to 314,056, 433,401.60 and 179,920 is: 248,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,056 : 433,401.60 = 179,920 : x
  2. Step 2: Convert to fraction form
    314,056/433,401.60 = 179,920/x
  3. Step 3: Cross multiply
    314,056x = 433,401.60 × 179,920
  4. Step 4: Simplify right side
    314,056x = 77,977,615,872
  5. Step 5: Solve for x
    x = 77,977,615,872/314,056
  6. Step 6: Final answer
    x = 248,292.07

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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.