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Finding the Fourth Proportional to 309,634.20, 432,963 and 309,634.20

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Solution

The fourth proportional to 309,634.20, 432,963 and 309,634.20 is: 432,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,634.20 : 432,963 = 309,634.20 : x
  2. Step 2: Convert to fraction form
    309,634.20/432,963 = 309,634.20/x
  3. Step 3: Cross multiply
    309,634.20x = 432,963 × 309,634.20
  4. Step 4: Simplify right side
    309,634.20x = 134,060,152,134.60
  5. Step 5: Solve for x
    x = 134,060,152,134.60/309,634.20
  6. Step 6: Final answer
    x = 432,963

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.