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Finding the Fourth Proportional to 380,539.94, 570,836.50 and 152,835.57

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Solution

The fourth proportional to 380,539.94, 570,836.50 and 152,835.57 is: 229,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,539.94 : 570,836.50 = 152,835.57 : x
  2. Step 2: Convert to fraction form
    380,539.94/570,836.50 = 152,835.57/x
  3. Step 3: Cross multiply
    380,539.94x = 570,836.50 × 152,835.57
  4. Step 4: Simplify right side
    380,539.94x = 87,244,121,854.31
  5. Step 5: Solve for x
    x = 87,244,121,854.31/380,539.94
  6. Step 6: Final answer
    x = 229,264.04

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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.