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Finding the Fourth Proportional to 370,149.32, 510,796.62 and 206,807.06

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Solution

The fourth proportional to 370,149.32, 510,796.62 and 206,807.06 is: 285,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,149.32 : 510,796.62 = 206,807.06 : x
  2. Step 2: Convert to fraction form
    370,149.32/510,796.62 = 206,807.06/x
  3. Step 3: Cross multiply
    370,149.32x = 510,796.62 × 206,807.06
  4. Step 4: Simplify right side
    370,149.32x = 105,636,347,240.14
  5. Step 5: Solve for x
    x = 105,636,347,240.14/370,149.32
  6. Step 6: Final answer
    x = 285,388.47

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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.