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Finding the Fourth Proportional to 576,803.76, 865,305.27 and 257,069.22

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Solution

The fourth proportional to 576,803.76, 865,305.27 and 257,069.22 is: 385,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,803.76 : 865,305.27 = 257,069.22 : x
  2. Step 2: Convert to fraction form
    576,803.76/865,305.27 = 257,069.22/x
  3. Step 3: Cross multiply
    576,803.76x = 865,305.27 × 257,069.22
  4. Step 4: Simplify right side
    576,803.76x = 222,443,350,820.79
  5. Step 5: Solve for x
    x = 222,443,350,820.79/576,803.76
  6. Step 6: Final answer
    x = 385,648.23

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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.