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Finding the Fourth Proportional to 313,969.18, 433,264.29 and 178,012.28

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Solution

The fourth proportional to 313,969.18, 433,264.29 and 178,012.28 is: 245,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.18 : 433,264.29 = 178,012.28 : x
  2. Step 2: Convert to fraction form
    313,969.18/433,264.29 = 178,012.28/x
  3. Step 3: Cross multiply
    313,969.18x = 433,264.29 × 178,012.28
  4. Step 4: Simplify right side
    313,969.18x = 77,126,361,049.10
  5. Step 5: Solve for x
    x = 77,126,361,049.10/313,969.18
  6. Step 6: Final answer
    x = 245,649.46

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1.5x scale

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.