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Finding the Fourth Proportional to 258,368.32, 387,212.28 and 138,411.37

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Solution

The fourth proportional to 258,368.32, 387,212.28 and 138,411.37 is: 207,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,368.32 : 387,212.28 = 138,411.37 : x
  2. Step 2: Convert to fraction form
    258,368.32/387,212.28 = 138,411.37/x
  3. Step 3: Cross multiply
    258,368.32x = 387,212.28 × 138,411.37
  4. Step 4: Simplify right side
    258,368.32x = 53,594,582,155.62
  5. Step 5: Solve for x
    x = 53,594,582,155.62/258,368.32
  6. Step 6: Final answer
    x = 207,434.81

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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.