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Finding the Fourth Proportional to 306,314.84, 422,714.72 and 170,345.80

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Solution

The fourth proportional to 306,314.84, 422,714.72 and 170,345.80 is: 235,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,314.84 : 422,714.72 = 170,345.80 : x
  2. Step 2: Convert to fraction form
    306,314.84/422,714.72 = 170,345.80/x
  3. Step 3: Cross multiply
    306,314.84x = 422,714.72 × 170,345.80
  4. Step 4: Simplify right side
    306,314.84x = 72,007,677,150.18
  5. Step 5: Solve for x
    x = 72,007,677,150.18/306,314.84
  6. Step 6: Final answer
    x = 235,077.34

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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.