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Finding the Fourth Proportional to 219,468.64, 302,755.44 and 138,760.24

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Solution

The fourth proportional to 219,468.64, 302,755.44 and 138,760.24 is: 191,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,468.64 : 302,755.44 = 138,760.24 : x
  2. Step 2: Convert to fraction form
    219,468.64/302,755.44 = 138,760.24/x
  3. Step 3: Cross multiply
    219,468.64x = 302,755.44 × 138,760.24
  4. Step 4: Simplify right side
    219,468.64x = 42,010,417,515.71
  5. Step 5: Solve for x
    x = 42,010,417,515.71/219,468.64
  6. Step 6: Final answer
    x = 191,418.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.