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Finding the Fourth Proportional to 380,287.66, 570,394.35 and 99,804.91

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Solution

The fourth proportional to 380,287.66, 570,394.35 and 99,804.91 is: 149,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,287.66 : 570,394.35 = 99,804.91 : x
  2. Step 2: Convert to fraction form
    380,287.66/570,394.35 = 99,804.91/x
  3. Step 3: Cross multiply
    380,287.66x = 570,394.35 × 99,804.91
  4. Step 4: Simplify right side
    380,287.66x = 56,928,156,766.26
  5. Step 5: Solve for x
    x = 56,928,156,766.26/380,287.66
  6. Step 6: Final answer
    x = 149,697.62

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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.