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Finding the Fourth Proportional to 577,029.51, 865,643.90 and 257,294.97

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Solution

The fourth proportional to 577,029.51, 865,643.90 and 257,294.97 is: 385,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,029.51 : 865,643.90 = 257,294.97 : x
  2. Step 2: Convert to fraction form
    577,029.51/865,643.90 = 257,294.97/x
  3. Step 3: Cross multiply
    577,029.51x = 865,643.90 × 257,294.97
  4. Step 4: Simplify right side
    577,029.51x = 222,725,819,994.71
  5. Step 5: Solve for x
    x = 222,725,819,994.71/577,029.51
  6. Step 6: Final answer
    x = 385,986.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.