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Finding the Fourth Proportional to 385,390.41, 578,140.74 and 119,171.45

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Solution

The fourth proportional to 385,390.41, 578,140.74 and 119,171.45 is: 178,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,390.41 : 578,140.74 = 119,171.45 : x
  2. Step 2: Convert to fraction form
    385,390.41/578,140.74 = 119,171.45/x
  3. Step 3: Cross multiply
    385,390.41x = 578,140.74 × 119,171.45
  4. Step 4: Simplify right side
    385,390.41x = 68,897,871,735.22
  5. Step 5: Solve for x
    x = 68,897,871,735.22/385,390.41
  6. Step 6: Final answer
    x = 178,774.23

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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.