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Finding the Fourth Proportional to 380,703.40, 525,627.30 and 340,287.64

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Solution

The fourth proportional to 380,703.40, 525,627.30 and 340,287.64 is: 469,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,703.40 : 525,627.30 = 340,287.64 : x
  2. Step 2: Convert to fraction form
    380,703.40/525,627.30 = 340,287.64/x
  3. Step 3: Cross multiply
    380,703.40x = 525,627.30 × 340,287.64
  4. Step 4: Simplify right side
    380,703.40x = 178,864,473,436.57
  5. Step 5: Solve for x
    x = 178,864,473,436.57/380,703.40
  6. Step 6: Final answer
    x = 469,826.31

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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.