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Finding the Fourth Proportional to 492,701.40, 739,052.10 and 306,077.40

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Solution

The fourth proportional to 492,701.40, 739,052.10 and 306,077.40 is: 459,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,701.40 : 739,052.10 = 306,077.40 : x
  2. Step 2: Convert to fraction form
    492,701.40/739,052.10 = 306,077.40/x
  3. Step 3: Cross multiply
    492,701.40x = 739,052.10 × 306,077.40
  4. Step 4: Simplify right side
    492,701.40x = 226,207,145,232.54
  5. Step 5: Solve for x
    x = 226,207,145,232.54/492,701.40
  6. Step 6: Final answer
    x = 459,116.10

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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.