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Finding the Fourth Proportional to 255,258, 382,218.12 and 179,970.66

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Solution

The fourth proportional to 255,258, 382,218.12 and 179,970.66 is: 269,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,258 : 382,218.12 = 179,970.66 : x
  2. Step 2: Convert to fraction form
    255,258/382,218.12 = 179,970.66/x
  3. Step 3: Cross multiply
    255,258x = 382,218.12 × 179,970.66
  4. Step 4: Simplify right side
    255,258x = 68,788,047,320.36
  5. Step 5: Solve for x
    x = 68,788,047,320.36/255,258
  6. Step 6: Final answer
    x = 269,484.39

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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.