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Finding the Fourth Proportional to 255,508.37, 382,971.92 and 155,448

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Solution

The fourth proportional to 255,508.37, 382,971.92 and 155,448 is: 232,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,508.37 : 382,971.92 = 155,448 : x
  2. Step 2: Convert to fraction form
    255,508.37/382,971.92 = 155,448/x
  3. Step 3: Cross multiply
    255,508.37x = 382,971.92 × 155,448
  4. Step 4: Simplify right side
    255,508.37x = 59,532,218,242.92
  5. Step 5: Solve for x
    x = 59,532,218,242.92/255,508.37
  6. Step 6: Final answer
    x = 232,995.18

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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.