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Finding the Fourth Proportional to 298,046.68, 411,287.78 and 170,730.47

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Solution

The fourth proportional to 298,046.68, 411,287.78 and 170,730.47 is: 235,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046.68 : 411,287.78 = 170,730.47 : x
  2. Step 2: Convert to fraction form
    298,046.68/411,287.78 = 170,730.47/x
  3. Step 3: Cross multiply
    298,046.68x = 411,287.78 × 170,730.47
  4. Step 4: Simplify right side
    298,046.68x = 70,219,357,439.70
  5. Step 5: Solve for x
    x = 70,219,357,439.70/298,046.68
  6. Step 6: Final answer
    x = 235,598.52

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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.