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Finding the Fourth Proportional to 414,101.40, 621,808.20 and 302,564.40

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Solution

The fourth proportional to 414,101.40, 621,808.20 and 302,564.40 is: 454,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,101.40 : 621,808.20 = 302,564.40 : x
  2. Step 2: Convert to fraction form
    414,101.40/621,808.20 = 302,564.40/x
  3. Step 3: Cross multiply
    414,101.40x = 621,808.20 × 302,564.40
  4. Step 4: Simplify right side
    414,101.40x = 188,137,024,948.08
  5. Step 5: Solve for x
    x = 188,137,024,948.08/414,101.40
  6. Step 6: Final answer
    x = 454,325.98

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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.