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Finding the Fourth Proportional to 380,827.44, 525,752.45 and 340,444.49

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Solution

The fourth proportional to 380,827.44, 525,752.45 and 340,444.49 is: 470,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,827.44 : 525,752.45 = 340,444.49 : x
  2. Step 2: Convert to fraction form
    380,827.44/525,752.45 = 340,444.49/x
  3. Step 3: Cross multiply
    380,827.44x = 525,752.45 × 340,444.49
  4. Step 4: Simplify right side
    380,827.44x = 178,989,523,623.75
  5. Step 5: Solve for x
    x = 178,989,523,623.75/380,827.44
  6. Step 6: Final answer
    x = 470,001.64

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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.