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Finding the Fourth Proportional to 380,570.14, 570,585 and 190,894.06

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Solution

The fourth proportional to 380,570.14, 570,585 and 190,894.06 is: 286,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,570.14 : 570,585 = 190,894.06 : x
  2. Step 2: Convert to fraction form
    380,570.14/570,585 = 190,894.06/x
  3. Step 3: Cross multiply
    380,570.14x = 570,585 × 190,894.06
  4. Step 4: Simplify right side
    380,570.14x = 108,921,287,225.10
  5. Step 5: Solve for x
    x = 108,921,287,225.10/380,570.14
  6. Step 6: Final answer
    x = 286,205.55

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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.