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Finding the Fourth Proportional to 280,071.68, 386,483.74 and 159,196.19

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Solution

The fourth proportional to 280,071.68, 386,483.74 and 159,196.19 is: 219,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,071.68 : 386,483.74 = 159,196.19 : x
  2. Step 2: Convert to fraction form
    280,071.68/386,483.74 = 159,196.19/x
  3. Step 3: Cross multiply
    280,071.68x = 386,483.74 × 159,196.19
  4. Step 4: Simplify right side
    280,071.68x = 61,526,736,574.54
  5. Step 5: Solve for x
    x = 61,526,736,574.54/280,071.68
  6. Step 6: Final answer
    x = 219,682.11

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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.