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Finding the Fourth Proportional to 369,078.13, 509,325.51 and 207,984.93

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Solution

The fourth proportional to 369,078.13, 509,325.51 and 207,984.93 is: 287,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,078.13 : 509,325.51 = 207,984.93 : x
  2. Step 2: Convert to fraction form
    369,078.13/509,325.51 = 207,984.93/x
  3. Step 3: Cross multiply
    369,078.13x = 509,325.51 × 207,984.93
  4. Step 4: Simplify right side
    369,078.13x = 105,932,030,544.56
  5. Step 5: Solve for x
    x = 105,932,030,544.56/369,078.13
  6. Step 6: Final answer
    x = 287,017.90

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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.