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Finding the Fourth Proportional to 298,345.81, 447,533.46 and 85,145.14

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Solution

The fourth proportional to 298,345.81, 447,533.46 and 85,145.14 is: 127,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,345.81 : 447,533.46 = 85,145.14 : x
  2. Step 2: Convert to fraction form
    298,345.81/447,533.46 = 85,145.14/x
  3. Step 3: Cross multiply
    298,345.81x = 447,533.46 × 85,145.14
  4. Step 4: Simplify right side
    298,345.81x = 38,105,299,106.38
  5. Step 5: Solve for x
    x = 38,105,299,106.38/298,345.81
  6. Step 6: Final answer
    x = 127,721.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.