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Finding the Fourth Proportional to 245,510.64, 338,780.74 and 138,078.38

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Solution

The fourth proportional to 245,510.64, 338,780.74 and 138,078.38 is: 190,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,510.64 : 338,780.74 = 138,078.38 : x
  2. Step 2: Convert to fraction form
    245,510.64/338,780.74 = 138,078.38/x
  3. Step 3: Cross multiply
    245,510.64x = 338,780.74 × 138,078.38
  4. Step 4: Simplify right side
    245,510.64x = 46,778,295,754.40
  5. Step 5: Solve for x
    x = 46,778,295,754.40/245,510.64
  6. Step 6: Final answer
    x = 190,534.70

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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.