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Finding the Fourth Proportional to 380,702.40, 525,625.92 and 340,286.64

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Solution

The fourth proportional to 380,702.40, 525,625.92 and 340,286.64 is: 469,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,702.40 : 525,625.92 = 340,286.64 : x
  2. Step 2: Convert to fraction form
    380,702.40/525,625.92 = 340,286.64/x
  3. Step 3: Cross multiply
    380,702.40x = 525,625.92 × 340,286.64
  4. Step 4: Simplify right side
    380,702.40x = 178,863,478,213.71
  5. Step 5: Solve for x
    x = 178,863,478,213.71/380,702.40
  6. Step 6: Final answer
    x = 469,824.93

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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.