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Finding the Fourth Proportional to 265,872, 366,929.28 and 146,640

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Solution

The fourth proportional to 265,872, 366,929.28 and 146,640 is: 202,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,872 : 366,929.28 = 146,640 : x
  2. Step 2: Convert to fraction form
    265,872/366,929.28 = 146,640/x
  3. Step 3: Cross multiply
    265,872x = 366,929.28 × 146,640
  4. Step 4: Simplify right side
    265,872x = 53,806,509,619.20
  5. Step 5: Solve for x
    x = 53,806,509,619.20/265,872
  6. Step 6: Final answer
    x = 202,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.