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Finding the Fourth Proportional to 383,445.20, 575,167.80 and 290,133.20

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Solution

The fourth proportional to 383,445.20, 575,167.80 and 290,133.20 is: 435,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,445.20 : 575,167.80 = 290,133.20 : x
  2. Step 2: Convert to fraction form
    383,445.20/575,167.80 = 290,133.20/x
  3. Step 3: Cross multiply
    383,445.20x = 575,167.80 × 290,133.20
  4. Step 4: Simplify right side
    383,445.20x = 166,875,274,350.96
  5. Step 5: Solve for x
    x = 166,875,274,350.96/383,445.20
  6. Step 6: Final answer
    x = 435,199.80

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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.