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Finding the Fourth Proportional to 225,312, 310,930.84 and 140,429

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Solution

The fourth proportional to 225,312, 310,930.84 and 140,429 is: 193,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,312 : 310,930.84 = 140,429 : x
  2. Step 2: Convert to fraction form
    225,312/310,930.84 = 140,429/x
  3. Step 3: Cross multiply
    225,312x = 310,930.84 × 140,429
  4. Step 4: Simplify right side
    225,312x = 43,663,706,930.36
  5. Step 5: Solve for x
    x = 43,663,706,930.36/225,312
  6. Step 6: Final answer
    x = 193,792.19

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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.