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Finding the Fourth Proportional to 578,191.54, 867,284.56 and 385,659

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Solution

The fourth proportional to 578,191.54, 867,284.56 and 385,659 is: 578,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,191.54 : 867,284.56 = 385,659 : x
  2. Step 2: Convert to fraction form
    578,191.54/867,284.56 = 385,659/x
  3. Step 3: Cross multiply
    578,191.54x = 867,284.56 × 385,659
  4. Step 4: Simplify right side
    578,191.54x = 334,476,096,125.04
  5. Step 5: Solve for x
    x = 334,476,096,125.04/578,191.54
  6. Step 6: Final answer
    x = 578,486.67

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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.