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Finding the Fourth Proportional to 401,200.24, 553,630.80 and 219,880.12

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Solution

The fourth proportional to 401,200.24, 553,630.80 and 219,880.12 is: 303,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,200.24 : 553,630.80 = 219,880.12 : x
  2. Step 2: Convert to fraction form
    401,200.24/553,630.80 = 219,880.12/x
  3. Step 3: Cross multiply
    401,200.24x = 553,630.80 × 219,880.12
  4. Step 4: Simplify right side
    401,200.24x = 121,732,406,739.70
  5. Step 5: Solve for x
    x = 121,732,406,739.70/401,200.24
  6. Step 6: Final answer
    x = 303,420.57

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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.