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Finding the Fourth Proportional to 354,085.85, 488,623.20 and 201,123.57

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Solution

The fourth proportional to 354,085.85, 488,623.20 and 201,123.57 is: 277,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,085.85 : 488,623.20 = 201,123.57 : x
  2. Step 2: Convert to fraction form
    354,085.85/488,623.20 = 201,123.57/x
  3. Step 3: Cross multiply
    354,085.85x = 488,623.20 × 201,123.57
  4. Step 4: Simplify right side
    354,085.85x = 98,273,642,368.82
  5. Step 5: Solve for x
    x = 98,273,642,368.82/354,085.85
  6. Step 6: Final answer
    x = 277,541.85

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1.5x scale

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.