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Finding the Fourth Proportional to 315,763.34, 435,748.26 and 172,520.30

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Solution

The fourth proportional to 315,763.34, 435,748.26 and 172,520.30 is: 238,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,763.34 : 435,748.26 = 172,520.30 : x
  2. Step 2: Convert to fraction form
    315,763.34/435,748.26 = 172,520.30/x
  3. Step 3: Cross multiply
    315,763.34x = 435,748.26 × 172,520.30
  4. Step 4: Simplify right side
    315,763.34x = 75,175,420,539.68
  5. Step 5: Solve for x
    x = 75,175,420,539.68/315,763.34
  6. Step 6: Final answer
    x = 238,075.20

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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.