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Finding the Fourth Proportional to 369,275.78, 509,600.94 and 199,510.28

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Solution

The fourth proportional to 369,275.78, 509,600.94 and 199,510.28 is: 275,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,275.78 : 509,600.94 = 199,510.28 : x
  2. Step 2: Convert to fraction form
    369,275.78/509,600.94 = 199,510.28/x
  3. Step 3: Cross multiply
    369,275.78x = 509,600.94 × 199,510.28
  4. Step 4: Simplify right side
    369,275.78x = 101,670,626,227.66
  5. Step 5: Solve for x
    x = 101,670,626,227.66/369,275.78
  6. Step 6: Final answer
    x = 275,324.38

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1.5x scale

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.