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Finding the Fourth Proportional to 314,180.80, 438,920 and 314,180.80

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Solution

The fourth proportional to 314,180.80, 438,920 and 314,180.80 is: 438,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,180.80 : 438,920 = 314,180.80 : x
  2. Step 2: Convert to fraction form
    314,180.80/438,920 = 314,180.80/x
  3. Step 3: Cross multiply
    314,180.80x = 438,920 × 314,180.80
  4. Step 4: Simplify right side
    314,180.80x = 137,900,236,736
  5. Step 5: Solve for x
    x = 137,900,236,736/314,180.80
  6. Step 6: Final answer
    x = 438,920

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.