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Finding the Fourth Proportional to 426,643.60, 639,792.60 and 146,016.40

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Solution

The fourth proportional to 426,643.60, 639,792.60 and 146,016.40 is: 218,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,643.60 : 639,792.60 = 146,016.40 : x
  2. Step 2: Convert to fraction form
    426,643.60/639,792.60 = 146,016.40/x
  3. Step 3: Cross multiply
    426,643.60x = 639,792.60 × 146,016.40
  4. Step 4: Simplify right side
    426,643.60x = 93,420,212,198.64
  5. Step 5: Solve for x
    x = 93,420,212,198.64/426,643.60
  6. Step 6: Final answer
    x = 218,965.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.