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Finding the Fourth Proportional to 315,826.91, 435,885.58 and 201,068.90

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Solution

The fourth proportional to 315,826.91, 435,885.58 and 201,068.90 is: 277,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,826.91 : 435,885.58 = 201,068.90 : x
  2. Step 2: Convert to fraction form
    315,826.91/435,885.58 = 201,068.90/x
  3. Step 3: Cross multiply
    315,826.91x = 435,885.58 × 201,068.90
  4. Step 4: Simplify right side
    315,826.91x = 87,643,034,096.46
  5. Step 5: Solve for x
    x = 87,643,034,096.46/315,826.91
  6. Step 6: Final answer
    x = 277,503.38

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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.