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Finding the Fourth Proportional to 385,273.71, 577,127.21 and 314,448.75

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Solution

The fourth proportional to 385,273.71, 577,127.21 and 314,448.75 is: 471,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,273.71 : 577,127.21 = 314,448.75 : x
  2. Step 2: Convert to fraction form
    385,273.71/577,127.21 = 314,448.75/x
  3. Step 3: Cross multiply
    385,273.71x = 577,127.21 × 314,448.75
  4. Step 4: Simplify right side
    385,273.71x = 181,476,928,203.24
  5. Step 5: Solve for x
    x = 181,476,928,203.24/385,273.71
  6. Step 6: Final answer
    x = 471,033.77

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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.