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Finding the Fourth Proportional to 302,978.32, 454,418.26 and 143,053.95

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Solution

The fourth proportional to 302,978.32, 454,418.26 and 143,053.95 is: 214,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,978.32 : 454,418.26 = 143,053.95 : x
  2. Step 2: Convert to fraction form
    302,978.32/454,418.26 = 143,053.95/x
  3. Step 3: Cross multiply
    302,978.32x = 454,418.26 × 143,053.95
  4. Step 4: Simplify right side
    302,978.32x = 65,006,325,909.08
  5. Step 5: Solve for x
    x = 65,006,325,909.08/302,978.32
  6. Step 6: Final answer
    x = 214,557.68

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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.