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Finding the Fourth Proportional to 302,581.40, 454,017.90 and 213,643.40

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Solution

The fourth proportional to 302,581.40, 454,017.90 and 213,643.40 is: 320,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,581.40 : 454,017.90 = 213,643.40 : x
  2. Step 2: Convert to fraction form
    302,581.40/454,017.90 = 213,643.40/x
  3. Step 3: Cross multiply
    302,581.40x = 454,017.90 × 213,643.40
  4. Step 4: Simplify right side
    302,581.40x = 96,997,927,816.86
  5. Step 5: Solve for x
    x = 96,997,927,816.86/302,581.40
  6. Step 6: Final answer
    x = 320,568.04

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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.