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Finding the Fourth Proportional to 211,009.76, 316,290.16 and 144,431.20

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Solution

The fourth proportional to 211,009.76, 316,290.16 and 144,431.20 is: 216,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,009.76 : 316,290.16 = 144,431.20 : x
  2. Step 2: Convert to fraction form
    211,009.76/316,290.16 = 144,431.20/x
  3. Step 3: Cross multiply
    211,009.76x = 316,290.16 × 144,431.20
  4. Step 4: Simplify right side
    211,009.76x = 45,682,167,356.99
  5. Step 5: Solve for x
    x = 45,682,167,356.99/211,009.76
  6. Step 6: Final answer
    x = 216,493.15

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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.