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Finding the Fourth Proportional to 492,091.30, 738,482.55 and 315,028.90

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Solution

The fourth proportional to 492,091.30, 738,482.55 and 315,028.90 is: 472,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,091.30 : 738,482.55 = 315,028.90 : x
  2. Step 2: Convert to fraction form
    492,091.30/738,482.55 = 315,028.90/x
  3. Step 3: Cross multiply
    492,091.30x = 738,482.55 × 315,028.90
  4. Step 4: Simplify right side
    492,091.30x = 232,643,345,395.70
  5. Step 5: Solve for x
    x = 232,643,345,395.70/492,091.30
  6. Step 6: Final answer
    x = 472,764.60

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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.