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Finding the Fourth Proportional to 261,338.36, 360,603.22 and 153,929.78

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Solution

The fourth proportional to 261,338.36, 360,603.22 and 153,929.78 is: 212,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,338.36 : 360,603.22 = 153,929.78 : x
  2. Step 2: Convert to fraction form
    261,338.36/360,603.22 = 153,929.78/x
  3. Step 3: Cross multiply
    261,338.36x = 360,603.22 × 153,929.78
  4. Step 4: Simplify right side
    261,338.36x = 55,507,572,134.05
  5. Step 5: Solve for x
    x = 55,507,572,134.05/261,338.36
  6. Step 6: Final answer
    x = 212,397.34

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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.