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Finding the Fourth Proportional to 380,521.41, 525,123.41 and 229,589.25

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Solution

The fourth proportional to 380,521.41, 525,123.41 and 229,589.25 is: 316,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,521.41 : 525,123.41 = 229,589.25 : x
  2. Step 2: Convert to fraction form
    380,521.41/525,123.41 = 229,589.25/x
  3. Step 3: Cross multiply
    380,521.41x = 525,123.41 × 229,589.25
  4. Step 4: Simplify right side
    380,521.41x = 120,562,688,711.40
  5. Step 5: Solve for x
    x = 120,562,688,711.40/380,521.41
  6. Step 6: Final answer
    x = 316,835.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.