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Finding the Fourth Proportional to 472,549.80, 652,106.88 and 257,694

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Solution

The fourth proportional to 472,549.80, 652,106.88 and 257,694 is: 355,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,549.80 : 652,106.88 = 257,694 : x
  2. Step 2: Convert to fraction form
    472,549.80/652,106.88 = 257,694/x
  3. Step 3: Cross multiply
    472,549.80x = 652,106.88 × 257,694
  4. Step 4: Simplify right side
    472,549.80x = 168,044,030,334.72
  5. Step 5: Solve for x
    x = 168,044,030,334.72/472,549.80
  6. Step 6: Final answer
    x = 355,611.26

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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.