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Finding the Fourth Proportional to 315,085.70, 472,196.55 and 202,420.10

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Solution

The fourth proportional to 315,085.70, 472,196.55 and 202,420.10 is: 303,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.70 : 472,196.55 = 202,420.10 : x
  2. Step 2: Convert to fraction form
    315,085.70/472,196.55 = 202,420.10/x
  3. Step 3: Cross multiply
    315,085.70x = 472,196.55 × 202,420.10
  4. Step 4: Simplify right side
    315,085.70x = 95,582,072,870.66
  5. Step 5: Solve for x
    x = 95,582,072,870.66/315,085.70
  6. Step 6: Final answer
    x = 303,352.62

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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.