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Finding the Fourth Proportional to 311,359.12, 429,526.44 and 299,288.08

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Solution

The fourth proportional to 311,359.12, 429,526.44 and 299,288.08 is: 412,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,359.12 : 429,526.44 = 299,288.08 : x
  2. Step 2: Convert to fraction form
    311,359.12/429,526.44 = 299,288.08/x
  3. Step 3: Cross multiply
    311,359.12x = 429,526.44 × 299,288.08
  4. Step 4: Simplify right side
    311,359.12x = 128,552,143,536.84
  5. Step 5: Solve for x
    x = 128,552,143,536.84/311,359.12
  6. Step 6: Final answer
    x = 412,874.19

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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.