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Finding the Fourth Proportional to 258,373.60, 387,535.32 and 78,460.57

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Solution

The fourth proportional to 258,373.60, 387,535.32 and 78,460.57 is: 117,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,373.60 : 387,535.32 = 78,460.57 : x
  2. Step 2: Convert to fraction form
    258,373.60/387,535.32 = 78,460.57/x
  3. Step 3: Cross multiply
    258,373.60x = 387,535.32 × 78,460.57
  4. Step 4: Simplify right side
    258,373.60x = 30,406,242,102.33
  5. Step 5: Solve for x
    x = 30,406,242,102.33/258,373.60
  6. Step 6: Final answer
    x = 117,683.24

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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.