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Finding the Fourth Proportional to 312,386.28, 468,765.96 and 286,976.52

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Solution

The fourth proportional to 312,386.28, 468,765.96 and 286,976.52 is: 430,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,386.28 : 468,765.96 = 286,976.52 : x
  2. Step 2: Convert to fraction form
    312,386.28/468,765.96 = 286,976.52/x
  3. Step 3: Cross multiply
    312,386.28x = 468,765.96 × 286,976.52
  4. Step 4: Simplify right side
    312,386.28x = 134,524,823,895.26
  5. Step 5: Solve for x
    x = 134,524,823,895.26/312,386.28
  6. Step 6: Final answer
    x = 430,636.15

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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.