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Finding the Fourth Proportional to 492,093.80, 738,486.30 and 315,031.40

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Solution

The fourth proportional to 492,093.80, 738,486.30 and 315,031.40 is: 472,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,093.80 : 738,486.30 = 315,031.40 : x
  2. Step 2: Convert to fraction form
    492,093.80/738,486.30 = 315,031.40/x
  3. Step 3: Cross multiply
    492,093.80x = 738,486.30 × 315,031.40
  4. Step 4: Simplify right side
    492,093.80x = 232,646,372,969.82
  5. Step 5: Solve for x
    x = 232,646,372,969.82/492,093.80
  6. Step 6: Final answer
    x = 472,768.35

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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.