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Finding the Fourth Proportional to 303,763.20, 455,644.80 and 286,267.20

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Solution

The fourth proportional to 303,763.20, 455,644.80 and 286,267.20 is: 429,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,763.20 : 455,644.80 = 286,267.20 : x
  2. Step 2: Convert to fraction form
    303,763.20/455,644.80 = 286,267.20/x
  3. Step 3: Cross multiply
    303,763.20x = 455,644.80 × 286,267.20
  4. Step 4: Simplify right side
    303,763.20x = 130,436,161,090.56
  5. Step 5: Solve for x
    x = 130,436,161,090.56/303,763.20
  6. Step 6: Final answer
    x = 429,400.80

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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.