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Finding the Fourth Proportional to 561,214.72, 774,493.32 and 306,582.31

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Solution

The fourth proportional to 561,214.72, 774,493.32 and 306,582.31 is: 423,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,214.72 : 774,493.32 = 306,582.31 : x
  2. Step 2: Convert to fraction form
    561,214.72/774,493.32 = 306,582.31/x
  3. Step 3: Cross multiply
    561,214.72x = 774,493.32 × 306,582.31
  4. Step 4: Simplify right side
    561,214.72x = 237,445,951,125.17
  5. Step 5: Solve for x
    x = 237,445,951,125.17/561,214.72
  6. Step 6: Final answer
    x = 423,092.88

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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.