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Finding the Fourth Proportional to 312,271.93, 430,936.32 and 169,031.92

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Solution

The fourth proportional to 312,271.93, 430,936.32 and 169,031.92 is: 233,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,271.93 : 430,936.32 = 169,031.92 : x
  2. Step 2: Convert to fraction form
    312,271.93/430,936.32 = 169,031.92/x
  3. Step 3: Cross multiply
    312,271.93x = 430,936.32 × 169,031.92
  4. Step 4: Simplify right side
    312,271.93x = 72,841,993,567.33
  5. Step 5: Solve for x
    x = 72,841,993,567.33/312,271.93
  6. Step 6: Final answer
    x = 233,264.62

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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.