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Finding the Fourth Proportional to 412,329.92, 618,114.32 and 286,029.76

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Solution

The fourth proportional to 412,329.92, 618,114.32 and 286,029.76 is: 428,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,329.92 : 618,114.32 = 286,029.76 : x
  2. Step 2: Convert to fraction form
    412,329.92/618,114.32 = 286,029.76/x
  3. Step 3: Cross multiply
    412,329.92x = 618,114.32 × 286,029.76
  4. Step 4: Simplify right side
    412,329.92x = 176,799,087,315.40
  5. Step 5: Solve for x
    x = 176,799,087,315.40/412,329.92
  6. Step 6: Final answer
    x = 428,780.64

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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.