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Finding the Fourth Proportional to 380,523.02, 570,720.74 and 127,775.07

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Solution

The fourth proportional to 380,523.02, 570,720.74 and 127,775.07 is: 191,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523.02 : 570,720.74 = 127,775.07 : x
  2. Step 2: Convert to fraction form
    380,523.02/570,720.74 = 127,775.07/x
  3. Step 3: Cross multiply
    380,523.02x = 570,720.74 × 127,775.07
  4. Step 4: Simplify right side
    380,523.02x = 72,923,881,865.08
  5. Step 5: Solve for x
    x = 72,923,881,865.08/380,523.02
  6. Step 6: Final answer
    x = 191,641.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.