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Finding the Fourth Proportional to 315,553.90, 435,498.71 and 194,692.08

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Solution

The fourth proportional to 315,553.90, 435,498.71 and 194,692.08 is: 268,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,553.90 : 435,498.71 = 194,692.08 : x
  2. Step 2: Convert to fraction form
    315,553.90/435,498.71 = 194,692.08/x
  3. Step 3: Cross multiply
    315,553.90x = 435,498.71 × 194,692.08
  4. Step 4: Simplify right side
    315,553.90x = 84,788,147,080.64
  5. Step 5: Solve for x
    x = 84,788,147,080.64/315,553.90
  6. Step 6: Final answer
    x = 268,696.24

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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.