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Finding the Fourth Proportional to 463,143, 639,137.34 and 251,175

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Solution

The fourth proportional to 463,143, 639,137.34 and 251,175 is: 346,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143 : 639,137.34 = 251,175 : x
  2. Step 2: Convert to fraction form
    463,143/639,137.34 = 251,175/x
  3. Step 3: Cross multiply
    463,143x = 639,137.34 × 251,175
  4. Step 4: Simplify right side
    463,143x = 160,535,321,374.50
  5. Step 5: Solve for x
    x = 160,535,321,374.50/463,143
  6. Step 6: Final answer
    x = 346,621.50

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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.