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Finding the Fourth Proportional to 313,969.56, 433,264.80 and 178,012.65

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Solution

The fourth proportional to 313,969.56, 433,264.80 and 178,012.65 is: 245,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.56 : 433,264.80 = 178,012.65 : x
  2. Step 2: Convert to fraction form
    313,969.56/433,264.80 = 178,012.65/x
  3. Step 3: Cross multiply
    313,969.56x = 433,264.80 × 178,012.65
  4. Step 4: Simplify right side
    313,969.56x = 77,126,615,199.72
  5. Step 5: Solve for x
    x = 77,126,615,199.72/313,969.56
  6. Step 6: Final answer
    x = 245,649.98

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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.