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Finding the Fourth Proportional to 380,568.84, 525,400.20 and 259,885.32

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Solution

The fourth proportional to 380,568.84, 525,400.20 and 259,885.32 is: 358,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,568.84 : 525,400.20 = 259,885.32 : x
  2. Step 2: Convert to fraction form
    380,568.84/525,400.20 = 259,885.32/x
  3. Step 3: Cross multiply
    380,568.84x = 525,400.20 × 259,885.32
  4. Step 4: Simplify right side
    380,568.84x = 136,543,799,105.06
  5. Step 5: Solve for x
    x = 136,543,799,105.06/380,568.84
  6. Step 6: Final answer
    x = 358,788.70

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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.