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Finding the Fourth Proportional to 298,239.84, 411,582.30 and 170,940

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Solution

The fourth proportional to 298,239.84, 411,582.30 and 170,940 is: 235,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,239.84 : 411,582.30 = 170,940 : x
  2. Step 2: Convert to fraction form
    298,239.84/411,582.30 = 170,940/x
  3. Step 3: Cross multiply
    298,239.84x = 411,582.30 × 170,940
  4. Step 4: Simplify right side
    298,239.84x = 70,355,878,362
  5. Step 5: Solve for x
    x = 70,355,878,362/298,239.84
  6. Step 6: Final answer
    x = 235,903.69

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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.