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Finding the Fourth Proportional to 413,793.40, 620,690.10 and 272,075.80

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Solution

The fourth proportional to 413,793.40, 620,690.10 and 272,075.80 is: 408,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,793.40 : 620,690.10 = 272,075.80 : x
  2. Step 2: Convert to fraction form
    413,793.40/620,690.10 = 272,075.80/x
  3. Step 3: Cross multiply
    413,793.40x = 620,690.10 × 272,075.80
  4. Step 4: Simplify right side
    413,793.40x = 168,874,755,509.58
  5. Step 5: Solve for x
    x = 168,874,755,509.58/413,793.40
  6. Step 6: Final answer
    x = 408,113.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.