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Finding the Fourth Proportional to 258,368.48, 387,527.66 and 78,455.46

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Solution

The fourth proportional to 258,368.48, 387,527.66 and 78,455.46 is: 117,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,368.48 : 387,527.66 = 78,455.46 : x
  2. Step 2: Convert to fraction form
    258,368.48/387,527.66 = 78,455.46/x
  3. Step 3: Cross multiply
    258,368.48x = 387,527.66 × 78,455.46
  4. Step 4: Simplify right side
    258,368.48x = 30,403,662,236.68
  5. Step 5: Solve for x
    x = 30,403,662,236.68/258,368.48
  6. Step 6: Final answer
    x = 117,675.59

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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.