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Finding the Fourth Proportional to 289,848.81, 399,990.99 and 160,806.86

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Solution

The fourth proportional to 289,848.81, 399,990.99 and 160,806.86 is: 221,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,848.81 : 399,990.99 = 160,806.86 : x
  2. Step 2: Convert to fraction form
    289,848.81/399,990.99 = 160,806.86/x
  3. Step 3: Cross multiply
    289,848.81x = 399,990.99 × 160,806.86
  4. Step 4: Simplify right side
    289,848.81x = 64,321,295,130.19
  5. Step 5: Solve for x
    x = 64,321,295,130.19/289,848.81
  6. Step 6: Final answer
    x = 221,913.26

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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.