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Finding the Fourth Proportional to 369,076.51, 509,323.27 and 207,983.30

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Solution

The fourth proportional to 369,076.51, 509,323.27 and 207,983.30 is: 287,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,076.51 : 509,323.27 = 207,983.30 : x
  2. Step 2: Convert to fraction form
    369,076.51/509,323.27 = 207,983.30/x
  3. Step 3: Cross multiply
    369,076.51x = 509,323.27 × 207,983.30
  4. Step 4: Simplify right side
    369,076.51x = 105,930,734,461.39
  5. Step 5: Solve for x
    x = 105,930,734,461.39/369,076.51
  6. Step 6: Final answer
    x = 287,015.65

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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.