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Finding the Fourth Proportional to 278,638.70, 384,639.12 and 188,117.28

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Solution

The fourth proportional to 278,638.70, 384,639.12 and 188,117.28 is: 259,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,638.70 : 384,639.12 = 188,117.28 : x
  2. Step 2: Convert to fraction form
    278,638.70/384,639.12 = 188,117.28/x
  3. Step 3: Cross multiply
    278,638.70x = 384,639.12 × 188,117.28
  4. Step 4: Simplify right side
    278,638.70x = 72,357,262,888.16
  5. Step 5: Solve for x
    x = 72,357,262,888.16/278,638.70
  6. Step 6: Final answer
    x = 259,681.31

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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.