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Finding the Fourth Proportional to 315,730.40, 471,292.40 and 275,871.92

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Solution

The fourth proportional to 315,730.40, 471,292.40 and 275,871.92 is: 411,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,730.40 : 471,292.40 = 275,871.92 : x
  2. Step 2: Convert to fraction form
    315,730.40/471,292.40 = 275,871.92/x
  3. Step 3: Cross multiply
    315,730.40x = 471,292.40 × 275,871.92
  4. Step 4: Simplify right side
    315,730.40x = 130,016,339,269.41
  5. Step 5: Solve for x
    x = 130,016,339,269.41/315,730.40
  6. Step 6: Final answer
    x = 411,795.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.