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Finding the Fourth Proportional to 380,658.70, 570,798.05 and 124,457.90

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Solution

The fourth proportional to 380,658.70, 570,798.05 and 124,457.90 is: 186,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,658.70 : 570,798.05 = 124,457.90 : x
  2. Step 2: Convert to fraction form
    380,658.70/570,798.05 = 124,457.90/x
  3. Step 3: Cross multiply
    380,658.70x = 570,798.05 × 124,457.90
  4. Step 4: Simplify right side
    380,658.70x = 71,040,326,627.10
  5. Step 5: Solve for x
    x = 71,040,326,627.10/380,658.70
  6. Step 6: Final answer
    x = 186,624.73

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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.