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Finding the Fourth Proportional to 380,490.78, 525,032.28 and 219,398.76

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Solution

The fourth proportional to 380,490.78, 525,032.28 and 219,398.76 is: 302,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,490.78 : 525,032.28 = 219,398.76 : x
  2. Step 2: Convert to fraction form
    380,490.78/525,032.28 = 219,398.76/x
  3. Step 3: Cross multiply
    380,490.78x = 525,032.28 × 219,398.76
  4. Step 4: Simplify right side
    380,490.78x = 115,191,431,191.97
  5. Step 5: Solve for x
    x = 115,191,431,191.97/380,490.78
  6. Step 6: Final answer
    x = 302,744.34

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1.5x scale

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.