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Finding the Fourth Proportional to 380,658.20, 570,797.31 and 124,457.40

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Solution

The fourth proportional to 380,658.20, 570,797.31 and 124,457.40 is: 186,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,658.20 : 570,797.31 = 124,457.40 : x
  2. Step 2: Convert to fraction form
    380,658.20/570,797.31 = 124,457.40/x
  3. Step 3: Cross multiply
    380,658.20x = 570,797.31 × 124,457.40
  4. Step 4: Simplify right side
    380,658.20x = 71,039,949,129.59
  5. Step 5: Solve for x
    x = 71,039,949,129.59/380,658.20
  6. Step 6: Final answer
    x = 186,623.98

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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.