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Finding the Fourth Proportional to 275,032.10, 412,482.63 and 155,140.58

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Solution

The fourth proportional to 275,032.10, 412,482.63 and 155,140.58 is: 232,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,032.10 : 412,482.63 = 155,140.58 : x
  2. Step 2: Convert to fraction form
    275,032.10/412,482.63 = 155,140.58/x
  3. Step 3: Cross multiply
    275,032.10x = 412,482.63 × 155,140.58
  4. Step 4: Simplify right side
    275,032.10x = 63,992,794,458.13
  5. Step 5: Solve for x
    x = 63,992,794,458.13/275,032.10
  6. Step 6: Final answer
    x = 232,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.