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Finding the Fourth Proportional to 280,148.48, 386,678.40 and 159,360.64

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Solution

The fourth proportional to 280,148.48, 386,678.40 and 159,360.64 is: 219,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,148.48 : 386,678.40 = 159,360.64 : x
  2. Step 2: Convert to fraction form
    280,148.48/386,678.40 = 159,360.64/x
  3. Step 3: Cross multiply
    280,148.48x = 386,678.40 × 159,360.64
  4. Step 4: Simplify right side
    280,148.48x = 61,621,317,298.18
  5. Step 5: Solve for x
    x = 61,621,317,298.18/280,148.48
  6. Step 6: Final answer
    x = 219,959.49

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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.