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Finding the Fourth Proportional to 380,646, 570,947.40 and 114,401.16

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Solution

The fourth proportional to 380,646, 570,947.40 and 114,401.16 is: 171,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,646 : 570,947.40 = 114,401.16 : x
  2. Step 2: Convert to fraction form
    380,646/570,947.40 = 114,401.16/x
  3. Step 3: Cross multiply
    380,646x = 570,947.40 × 114,401.16
  4. Step 4: Simplify right side
    380,646x = 65,317,044,858.98
  5. Step 5: Solve for x
    x = 65,317,044,858.98/380,646
  6. Step 6: Final answer
    x = 171,595.25

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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.