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Finding the Fourth Proportional to 369,323.86, 509,636.38 and 208,218.51

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Solution

The fourth proportional to 369,323.86, 509,636.38 and 208,218.51 is: 287,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,323.86 : 509,636.38 = 208,218.51 : x
  2. Step 2: Convert to fraction form
    369,323.86/509,636.38 = 208,218.51/x
  3. Step 3: Cross multiply
    369,323.86x = 509,636.38 × 208,218.51
  4. Step 4: Simplify right side
    369,323.86x = 106,115,727,685.39
  5. Step 5: Solve for x
    x = 106,115,727,685.39/369,323.86
  6. Step 6: Final answer
    x = 287,324.32

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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.