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Finding the Fourth Proportional to 245,467.20, 338,720.16 and 138,020.16

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Solution

The fourth proportional to 245,467.20, 338,720.16 and 138,020.16 is: 190,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,467.20 : 338,720.16 = 138,020.16 : x
  2. Step 2: Convert to fraction form
    245,467.20/338,720.16 = 138,020.16/x
  3. Step 3: Cross multiply
    245,467.20x = 338,720.16 × 138,020.16
  4. Step 4: Simplify right side
    245,467.20x = 46,750,210,678.43
  5. Step 5: Solve for x
    x = 46,750,210,678.43/245,467.20
  6. Step 6: Final answer
    x = 190,454.00

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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.