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Finding the Fourth Proportional to 369,078.80, 509,330.43 and 207,936.32

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Solution

The fourth proportional to 369,078.80, 509,330.43 and 207,936.32 is: 286,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,078.80 : 509,330.43 = 207,936.32 : x
  2. Step 2: Convert to fraction form
    369,078.80/509,330.43 = 207,936.32/x
  3. Step 3: Cross multiply
    369,078.80x = 509,330.43 × 207,936.32
  4. Step 4: Simplify right side
    369,078.80x = 105,908,292,731.57
  5. Step 5: Solve for x
    x = 105,908,292,731.57/369,078.80
  6. Step 6: Final answer
    x = 286,953.07

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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.