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Finding the Fourth Proportional to 512,065.08, 706,536.72 and 297,080.64

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Solution

The fourth proportional to 512,065.08, 706,536.72 and 297,080.64 is: 409,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,065.08 : 706,536.72 = 297,080.64 : x
  2. Step 2: Convert to fraction form
    512,065.08/706,536.72 = 297,080.64/x
  3. Step 3: Cross multiply
    512,065.08x = 706,536.72 × 297,080.64
  4. Step 4: Simplify right side
    512,065.08x = 209,898,380,961.10
  5. Step 5: Solve for x
    x = 209,898,380,961.10/512,065.08
  6. Step 6: Final answer
    x = 409,905.67

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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.