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Finding the Fourth Proportional to 314,420.40, 471,630.60 and 188,449.20

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Solution

The fourth proportional to 314,420.40, 471,630.60 and 188,449.20 is: 282,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,420.40 : 471,630.60 = 188,449.20 : x
  2. Step 2: Convert to fraction form
    314,420.40/471,630.60 = 188,449.20/x
  3. Step 3: Cross multiply
    314,420.40x = 471,630.60 × 188,449.20
  4. Step 4: Simplify right side
    314,420.40x = 88,878,409,265.52
  5. Step 5: Solve for x
    x = 88,878,409,265.52/314,420.40
  6. Step 6: Final answer
    x = 282,673.80

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1.5x scale

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.