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Finding the Fourth Proportional to 290,643.60, 435,965.40 and 254,485.20

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Solution

The fourth proportional to 290,643.60, 435,965.40 and 254,485.20 is: 381,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,643.60 : 435,965.40 = 254,485.20 : x
  2. Step 2: Convert to fraction form
    290,643.60/435,965.40 = 254,485.20/x
  3. Step 3: Cross multiply
    290,643.60x = 435,965.40 × 254,485.20
  4. Step 4: Simplify right side
    290,643.60x = 110,946,742,012.08
  5. Step 5: Solve for x
    x = 110,946,742,012.08/290,643.60
  6. Step 6: Final answer
    x = 381,727.80

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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.