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Finding the Fourth Proportional to 383,419.20, 575,128.80 and 290,107.20

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Solution

The fourth proportional to 383,419.20, 575,128.80 and 290,107.20 is: 435,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,419.20 : 575,128.80 = 290,107.20 : x
  2. Step 2: Convert to fraction form
    383,419.20/575,128.80 = 290,107.20/x
  3. Step 3: Cross multiply
    383,419.20x = 575,128.80 × 290,107.20
  4. Step 4: Simplify right side
    383,419.20x = 166,849,005,807.36
  5. Step 5: Solve for x
    x = 166,849,005,807.36/383,419.20
  6. Step 6: Final answer
    x = 435,160.80

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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.