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Finding the Fourth Proportional to 302,582.40, 454,019.40 and 213,644.40

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Solution

The fourth proportional to 302,582.40, 454,019.40 and 213,644.40 is: 320,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,582.40 : 454,019.40 = 213,644.40 : x
  2. Step 2: Convert to fraction form
    302,582.40/454,019.40 = 213,644.40/x
  3. Step 3: Cross multiply
    302,582.40x = 454,019.40 × 213,644.40
  4. Step 4: Simplify right side
    302,582.40x = 96,998,702,301.36
  5. Step 5: Solve for x
    x = 96,998,702,301.36/302,582.40
  6. Step 6: Final answer
    x = 320,569.55

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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.