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Finding the Fourth Proportional to 289,338.66, 399,303.81 and 162,013.14

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Solution

The fourth proportional to 289,338.66, 399,303.81 and 162,013.14 is: 223,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,338.66 : 399,303.81 = 162,013.14 : x
  2. Step 2: Convert to fraction form
    289,338.66/399,303.81 = 162,013.14/x
  3. Step 3: Cross multiply
    289,338.66x = 399,303.81 × 162,013.14
  4. Step 4: Simplify right side
    289,338.66x = 64,692,464,072.06
  5. Step 5: Solve for x
    x = 64,692,464,072.06/289,338.66
  6. Step 6: Final answer
    x = 223,587.35

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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.