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Finding the Fourth Proportional to 315,763.84, 435,748.94 and 172,520.80

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Solution

The fourth proportional to 315,763.84, 435,748.94 and 172,520.80 is: 238,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,763.84 : 435,748.94 = 172,520.80 : x
  2. Step 2: Convert to fraction form
    315,763.84/435,748.94 = 172,520.80/x
  3. Step 3: Cross multiply
    315,763.84x = 435,748.94 × 172,520.80
  4. Step 4: Simplify right side
    315,763.84x = 75,175,755,727.95
  5. Step 5: Solve for x
    x = 75,175,755,727.95/315,763.84
  6. Step 6: Final answer
    x = 238,075.89

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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.