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Finding the Fourth Proportional to 228,009.87, 314,652.87 and 127,407.87

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Solution

The fourth proportional to 228,009.87, 314,652.87 and 127,407.87 is: 175,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,009.87 : 314,652.87 = 127,407.87 : x
  2. Step 2: Convert to fraction form
    228,009.87/314,652.87 = 127,407.87/x
  3. Step 3: Cross multiply
    228,009.87x = 314,652.87 × 127,407.87
  4. Step 4: Simplify right side
    228,009.87x = 40,089,251,956.09
  5. Step 5: Solve for x
    x = 40,089,251,956.09/228,009.87
  6. Step 6: Final answer
    x = 175,822.44

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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.