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Finding the Fourth Proportional to 380,460.05, 570,672.30 and 155,764.94

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Solution

The fourth proportional to 380,460.05, 570,672.30 and 155,764.94 is: 233,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,460.05 : 570,672.30 = 155,764.94 : x
  2. Step 2: Convert to fraction form
    380,460.05/570,672.30 = 155,764.94/x
  3. Step 3: Cross multiply
    380,460.05x = 570,672.30 × 155,764.94
  4. Step 4: Simplify right side
    380,460.05x = 88,890,736,569.16
  5. Step 5: Solve for x
    x = 88,890,736,569.16/380,460.05
  6. Step 6: Final answer
    x = 233,640.13

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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.