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Finding the Fourth Proportional to 368,806.77, 508,947.71 and 207,661.32

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Solution

The fourth proportional to 368,806.77, 508,947.71 and 207,661.32 is: 286,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,806.77 : 508,947.71 = 207,661.32 : x
  2. Step 2: Convert to fraction form
    368,806.77/508,947.71 = 207,661.32/x
  3. Step 3: Cross multiply
    368,806.77x = 508,947.71 × 207,661.32
  4. Step 4: Simplify right side
    368,806.77x = 105,688,752,231.27
  5. Step 5: Solve for x
    x = 105,688,752,231.27/368,806.77
  6. Step 6: Final answer
    x = 286,569.45

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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.