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Finding the Fourth Proportional to 312,811.04, 469,274.88 and 201,215.72

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Solution

The fourth proportional to 312,811.04, 469,274.88 and 201,215.72 is: 301,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,811.04 : 469,274.88 = 201,215.72 : x
  2. Step 2: Convert to fraction form
    312,811.04/469,274.88 = 201,215.72/x
  3. Step 3: Cross multiply
    312,811.04x = 469,274.88 × 201,215.72
  4. Step 4: Simplify right side
    312,811.04x = 94,425,482,857.11
  5. Step 5: Solve for x
    x = 94,425,482,857.11/312,811.04
  6. Step 6: Final answer
    x = 301,861.09

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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.