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Finding the Fourth Proportional to 315,826.94, 435,885.63 and 201,068.93

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Solution

The fourth proportional to 315,826.94, 435,885.63 and 201,068.93 is: 277,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,826.94 : 435,885.63 = 201,068.93 : x
  2. Step 2: Convert to fraction form
    315,826.94/435,885.63 = 201,068.93/x
  3. Step 3: Cross multiply
    315,826.94x = 435,885.63 × 201,068.93
  4. Step 4: Simplify right side
    315,826.94x = 87,643,055,047.05
  5. Step 5: Solve for x
    x = 87,643,055,047.05/315,826.94
  6. Step 6: Final answer
    x = 277,503.41

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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.