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Finding the Fourth Proportional to 310,460.10, 428,429.84 and 172,633.55

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Solution

The fourth proportional to 310,460.10, 428,429.84 and 172,633.55 is: 238,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,460.10 : 428,429.84 = 172,633.55 : x
  2. Step 2: Convert to fraction form
    310,460.10/428,429.84 = 172,633.55/x
  3. Step 3: Cross multiply
    310,460.10x = 428,429.84 × 172,633.55
  4. Step 4: Simplify right side
    310,460.10x = 73,961,361,199.82
  5. Step 5: Solve for x
    x = 73,961,361,199.82/310,460.10
  6. Step 6: Final answer
    x = 238,231.45

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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.