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Finding the Fourth Proportional to 725,427.92, 1,001,011.04 and 419,458

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Solution

The fourth proportional to 725,427.92, 1,001,011.04 and 419,458 is: 578,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,427.92 : 1,001,011.04 = 419,458 : x
  2. Step 2: Convert to fraction form
    725,427.92/1,001,011.04 = 419,458/x
  3. Step 3: Cross multiply
    725,427.92x = 1,001,011.04 × 419,458
  4. Step 4: Simplify right side
    725,427.92x = 419,882,088,816.32
  5. Step 5: Solve for x
    x = 419,882,088,816.32/725,427.92
  6. Step 6: Final answer
    x = 578,806.08

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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.