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Finding the Fourth Proportional to 302,694.40, 454,041.60 and 140,572.12

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Solution

The fourth proportional to 302,694.40, 454,041.60 and 140,572.12 is: 210,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,694.40 : 454,041.60 = 140,572.12 : x
  2. Step 2: Convert to fraction form
    302,694.40/454,041.60 = 140,572.12/x
  3. Step 3: Cross multiply
    302,694.40x = 454,041.60 × 140,572.12
  4. Step 4: Simplify right side
    302,694.40x = 63,825,590,280.19
  5. Step 5: Solve for x
    x = 63,825,590,280.19/302,694.40
  6. Step 6: Final answer
    x = 210,858.18

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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.