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Finding the Fourth Proportional to 492,859.40, 739,289.10 and 212,376.65

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Solution

The fourth proportional to 492,859.40, 739,289.10 and 212,376.65 is: 318,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,859.40 : 739,289.10 = 212,376.65 : x
  2. Step 2: Convert to fraction form
    492,859.40/739,289.10 = 212,376.65/x
  3. Step 3: Cross multiply
    492,859.40x = 739,289.10 × 212,376.65
  4. Step 4: Simplify right side
    492,859.40x = 157,007,742,439.52
  5. Step 5: Solve for x
    x = 157,007,742,439.52/492,859.40
  6. Step 6: Final answer
    x = 318,564.98

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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.