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Finding the Fourth Proportional to 380,291.76, 569,617.50 and 357,933.84

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Solution

The fourth proportional to 380,291.76, 569,617.50 and 357,933.84 is: 536,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,291.76 : 569,617.50 = 357,933.84 : x
  2. Step 2: Convert to fraction form
    380,291.76/569,617.50 = 357,933.84/x
  3. Step 3: Cross multiply
    380,291.76x = 569,617.50 × 357,933.84
  4. Step 4: Simplify right side
    380,291.76x = 203,885,379,106.20
  5. Step 5: Solve for x
    x = 203,885,379,106.20/380,291.76
  6. Step 6: Final answer
    x = 536,128.84

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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.