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Finding the Fourth Proportional to 303,493.20, 455,239.80 and 146,029.20

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Solution

The fourth proportional to 303,493.20, 455,239.80 and 146,029.20 is: 219,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,493.20 : 455,239.80 = 146,029.20 : x
  2. Step 2: Convert to fraction form
    303,493.20/455,239.80 = 146,029.20/x
  3. Step 3: Cross multiply
    303,493.20x = 455,239.80 × 146,029.20
  4. Step 4: Simplify right side
    303,493.20x = 66,478,303,802.16
  5. Step 5: Solve for x
    x = 66,478,303,802.16/303,493.20
  6. Step 6: Final answer
    x = 219,043.80

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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.