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Finding the Fourth Proportional to 577,574.04, 797,028.84 and 319,434

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Solution

The fourth proportional to 577,574.04, 797,028.84 and 319,434 is: 440,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,574.04 : 797,028.84 = 319,434 : x
  2. Step 2: Convert to fraction form
    577,574.04/797,028.84 = 319,434/x
  3. Step 3: Cross multiply
    577,574.04x = 797,028.84 × 319,434
  4. Step 4: Simplify right side
    577,574.04x = 254,598,110,476.56
  5. Step 5: Solve for x
    x = 254,598,110,476.56/577,574.04
  6. Step 6: Final answer
    x = 440,806.01

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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.