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Finding the Fourth Proportional to 315,482.02, 435,415.20 and 200,640.94

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Solution

The fourth proportional to 315,482.02, 435,415.20 and 200,640.94 is: 276,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,482.02 : 435,415.20 = 200,640.94 : x
  2. Step 2: Convert to fraction form
    315,482.02/435,415.20 = 200,640.94/x
  3. Step 3: Cross multiply
    315,482.02x = 435,415.20 × 200,640.94
  4. Step 4: Simplify right side
    315,482.02x = 87,362,115,018.29
  5. Step 5: Solve for x
    x = 87,362,115,018.29/315,482.02
  6. Step 6: Final answer
    x = 276,916.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.