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Finding the Fourth Proportional to 419,615.12, 579,075.52 and 228,628.48

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Solution

The fourth proportional to 419,615.12, 579,075.52 and 228,628.48 is: 315,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,615.12 : 579,075.52 = 228,628.48 : x
  2. Step 2: Convert to fraction form
    419,615.12/579,075.52 = 228,628.48/x
  3. Step 3: Cross multiply
    419,615.12x = 579,075.52 × 228,628.48
  4. Step 4: Simplify right side
    419,615.12x = 132,393,155,942.81
  5. Step 5: Solve for x
    x = 132,393,155,942.81/419,615.12
  6. Step 6: Final answer
    x = 315,510.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.