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Finding the Fourth Proportional to 492,079.30, 738,464.55 and 315,016.90

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Solution

The fourth proportional to 492,079.30, 738,464.55 and 315,016.90 is: 472,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,079.30 : 738,464.55 = 315,016.90 : x
  2. Step 2: Convert to fraction form
    492,079.30/738,464.55 = 315,016.90/x
  3. Step 3: Cross multiply
    492,079.30x = 738,464.55 × 315,016.90
  4. Step 4: Simplify right side
    492,079.30x = 232,628,813,300.90
  5. Step 5: Solve for x
    x = 232,628,813,300.90/492,079.30
  6. Step 6: Final answer
    x = 472,746.59

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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.