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Finding the Fourth Proportional to 380,651.69, 570,933.05 and 152,938.08

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Solution

The fourth proportional to 380,651.69, 570,933.05 and 152,938.08 is: 229,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,651.69 : 570,933.05 = 152,938.08 : x
  2. Step 2: Convert to fraction form
    380,651.69/570,933.05 = 152,938.08/x
  3. Step 3: Cross multiply
    380,651.69x = 570,933.05 × 152,938.08
  4. Step 4: Simplify right side
    380,651.69x = 87,317,403,710.85
  5. Step 5: Solve for x
    x = 87,317,403,710.85/380,651.69
  6. Step 6: Final answer
    x = 229,389.25

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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.