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Finding the Fourth Proportional to 313,616.64, 470,534.40 and 147,417.60

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Solution

The fourth proportional to 313,616.64, 470,534.40 and 147,417.60 is: 221,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,616.64 : 470,534.40 = 147,417.60 : x
  2. Step 2: Convert to fraction form
    313,616.64/470,534.40 = 147,417.60/x
  3. Step 3: Cross multiply
    313,616.64x = 470,534.40 × 147,417.60
  4. Step 4: Simplify right side
    313,616.64x = 69,365,051,965.44
  5. Step 5: Solve for x
    x = 69,365,051,965.44/313,616.64
  6. Step 6: Final answer
    x = 221,177.84

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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.