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Finding the Fourth Proportional to 282,645.65, 390,072.69 and 161,824.83

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Solution

The fourth proportional to 282,645.65, 390,072.69 and 161,824.83 is: 223,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,645.65 : 390,072.69 = 161,824.83 : x
  2. Step 2: Convert to fraction form
    282,645.65/390,072.69 = 161,824.83/x
  3. Step 3: Cross multiply
    282,645.65x = 390,072.69 × 161,824.83
  4. Step 4: Simplify right side
    282,645.65x = 63,123,446,746.89
  5. Step 5: Solve for x
    x = 63,123,446,746.89/282,645.65
  6. Step 6: Final answer
    x = 223,330.69

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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.