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Finding the Fourth Proportional to 400,728.40, 553,006.12 and 219,452.20

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Solution

The fourth proportional to 400,728.40, 553,006.12 and 219,452.20 is: 302,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,728.40 : 553,006.12 = 219,452.20 : x
  2. Step 2: Convert to fraction form
    400,728.40/553,006.12 = 219,452.20/x
  3. Step 3: Cross multiply
    400,728.40x = 553,006.12 × 219,452.20
  4. Step 4: Simplify right side
    400,728.40x = 121,358,406,882.43
  5. Step 5: Solve for x
    x = 121,358,406,882.43/400,728.40
  6. Step 6: Final answer
    x = 302,844.54

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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.