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Finding the Fourth Proportional to 260,398.51, 359,346.71 and 152,978.33

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Solution

The fourth proportional to 260,398.51, 359,346.71 and 152,978.33 is: 211,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,398.51 : 359,346.71 = 152,978.33 : x
  2. Step 2: Convert to fraction form
    260,398.51/359,346.71 = 152,978.33/x
  3. Step 3: Cross multiply
    260,398.51x = 359,346.71 × 152,978.33
  4. Step 4: Simplify right side
    260,398.51x = 54,972,258,821.90
  5. Step 5: Solve for x
    x = 54,972,258,821.90/260,398.51
  6. Step 6: Final answer
    x = 211,108.20

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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.