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Finding the Fourth Proportional to 380,590, 570,863.04 and 114,344.80

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Solution

The fourth proportional to 380,590, 570,863.04 and 114,344.80 is: 171,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,590 : 570,863.04 = 114,344.80 : x
  2. Step 2: Convert to fraction form
    380,590/570,863.04 = 114,344.80/x
  3. Step 3: Cross multiply
    380,590x = 570,863.04 × 114,344.80
  4. Step 4: Simplify right side
    380,590x = 65,275,220,136.19
  5. Step 5: Solve for x
    x = 65,275,220,136.19/380,590
  6. Step 6: Final answer
    x = 171,510.60

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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.