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Finding the Fourth Proportional to 289,369.90, 399,321.16 and 160,303.11

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Solution

The fourth proportional to 289,369.90, 399,321.16 and 160,303.11 is: 221,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,369.90 : 399,321.16 = 160,303.11 : x
  2. Step 2: Convert to fraction form
    289,369.90/399,321.16 = 160,303.11/x
  3. Step 3: Cross multiply
    289,369.90x = 399,321.16 × 160,303.11
  4. Step 4: Simplify right side
    289,369.90x = 64,012,423,836.81
  5. Step 5: Solve for x
    x = 64,012,423,836.81/289,369.90
  6. Step 6: Final answer
    x = 221,213.14

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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.