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Finding the Fourth Proportional to 502,705.44, 694,438.41 and 457,303.32

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Solution

The fourth proportional to 502,705.44, 694,438.41 and 457,303.32 is: 631,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,705.44 : 694,438.41 = 457,303.32 : x
  2. Step 2: Convert to fraction form
    502,705.44/694,438.41 = 457,303.32/x
  3. Step 3: Cross multiply
    502,705.44x = 694,438.41 × 457,303.32
  4. Step 4: Simplify right side
    502,705.44x = 317,568,992,143.41
  5. Step 5: Solve for x
    x = 317,568,992,143.41/502,705.44
  6. Step 6: Final answer
    x = 631,719.82

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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.