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Finding the Fourth Proportional to 512,206.72, 706,756.48 and 297,298.56

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Solution

The fourth proportional to 512,206.72, 706,756.48 and 297,298.56 is: 410,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,206.72 : 706,756.48 = 297,298.56 : x
  2. Step 2: Convert to fraction form
    512,206.72/706,756.48 = 297,298.56/x
  3. Step 3: Cross multiply
    512,206.72x = 706,756.48 × 297,298.56
  4. Step 4: Simplify right side
    512,206.72x = 210,117,683,774.67
  5. Step 5: Solve for x
    x = 210,117,683,774.67/512,206.72
  6. Step 6: Final answer
    x = 410,220.47

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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.