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Finding the Fourth Proportional to 473,012.28, 653,467.80 and 310,055.56

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Solution

The fourth proportional to 473,012.28, 653,467.80 and 310,055.56 is: 428,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,012.28 : 653,467.80 = 310,055.56 : x
  2. Step 2: Convert to fraction form
    473,012.28/653,467.80 = 310,055.56/x
  3. Step 3: Cross multiply
    473,012.28x = 653,467.80 × 310,055.56
  4. Step 4: Simplify right side
    473,012.28x = 202,611,324,670.97
  5. Step 5: Solve for x
    x = 202,611,324,670.97/473,012.28
  6. Step 6: Final answer
    x = 428,342.63

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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.