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Finding the Fourth Proportional to 472,735.94, 652,371.41 and 257,871.38

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Solution

The fourth proportional to 472,735.94, 652,371.41 and 257,871.38 is: 355,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,735.94 : 652,371.41 = 257,871.38 : x
  2. Step 2: Convert to fraction form
    472,735.94/652,371.41 = 257,871.38/x
  3. Step 3: Cross multiply
    472,735.94x = 652,371.41 × 257,871.38
  4. Step 4: Simplify right side
    472,735.94x = 168,227,913,152.07
  5. Step 5: Solve for x
    x = 168,227,913,152.07/472,735.94
  6. Step 6: Final answer
    x = 355,860.22

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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.