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Finding the Fourth Proportional to 310,089.60, 427,970.25 and 189,301.05

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Solution

The fourth proportional to 310,089.60, 427,970.25 and 189,301.05 is: 261,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,089.60 : 427,970.25 = 189,301.05 : x
  2. Step 2: Convert to fraction form
    310,089.60/427,970.25 = 189,301.05/x
  3. Step 3: Cross multiply
    310,089.60x = 427,970.25 × 189,301.05
  4. Step 4: Simplify right side
    310,089.60x = 81,015,217,693.76
  5. Step 5: Solve for x
    x = 81,015,217,693.76/310,089.60
  6. Step 6: Final answer
    x = 261,263.90

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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.