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Finding the Fourth Proportional to 357,030.81, 492,702.50 and 204,072.30

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Solution

The fourth proportional to 357,030.81, 492,702.50 and 204,072.30 is: 281,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,030.81 : 492,702.50 = 204,072.30 : x
  2. Step 2: Convert to fraction form
    357,030.81/492,702.50 = 204,072.30/x
  3. Step 3: Cross multiply
    357,030.81x = 492,702.50 × 204,072.30
  4. Step 4: Simplify right side
    357,030.81x = 100,546,931,370.39
  5. Step 5: Solve for x
    x = 100,546,931,370.39/357,030.81
  6. Step 6: Final answer
    x = 281,619.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.