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Finding the Fourth Proportional to 361,661.60, 498,991.74 and 210,729.44

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Solution

The fourth proportional to 361,661.60, 498,991.74 and 210,729.44 is: 290,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,661.60 : 498,991.74 = 210,729.44 : x
  2. Step 2: Convert to fraction form
    361,661.60/498,991.74 = 210,729.44/x
  3. Step 3: Cross multiply
    361,661.60x = 498,991.74 × 210,729.44
  4. Step 4: Simplify right side
    361,661.60x = 105,152,249,934.83
  5. Step 5: Solve for x
    x = 105,152,249,934.83/361,661.60
  6. Step 6: Final answer
    x = 290,747.62

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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.