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Finding the Fourth Proportional to 310,150, 427,802.88 and 223,965.46

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Solution

The fourth proportional to 310,150, 427,802.88 and 223,965.46 is: 308,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,150 : 427,802.88 = 223,965.46 : x
  2. Step 2: Convert to fraction form
    310,150/427,802.88 = 223,965.46/x
  3. Step 3: Cross multiply
    310,150x = 427,802.88 × 223,965.46
  4. Step 4: Simplify right side
    310,150x = 95,813,068,808.52
  5. Step 5: Solve for x
    x = 95,813,068,808.52/310,150
  6. Step 6: Final answer
    x = 308,924.94

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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.