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Finding the Fourth Proportional to 380,391.50, 570,642.87 and 114,173.06

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Solution

The fourth proportional to 380,391.50, 570,642.87 and 114,173.06 is: 171,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,391.50 : 570,642.87 = 114,173.06 : x
  2. Step 2: Convert to fraction form
    380,391.50/570,642.87 = 114,173.06/x
  3. Step 3: Cross multiply
    380,391.50x = 570,642.87 × 114,173.06
  4. Step 4: Simplify right side
    380,391.50x = 65,152,039,781.87
  5. Step 5: Solve for x
    x = 65,152,039,781.87/380,391.50
  6. Step 6: Final answer
    x = 171,276.28

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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.