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Finding the Fourth Proportional to 380,459.05, 570,670.80 and 155,763.94

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Solution

The fourth proportional to 380,459.05, 570,670.80 and 155,763.94 is: 233,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,459.05 : 570,670.80 = 155,763.94 : x
  2. Step 2: Convert to fraction form
    380,459.05/570,670.80 = 155,763.94/x
  3. Step 3: Cross multiply
    380,459.05x = 570,670.80 × 155,763.94
  4. Step 4: Simplify right side
    380,459.05x = 88,889,930,824.28
  5. Step 5: Solve for x
    x = 88,889,930,824.28/380,459.05
  6. Step 6: Final answer
    x = 233,638.63

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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.