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Finding the Fourth Proportional to 408,075,152.80, 613,307,122.80 and 355,521,834.40

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Solution

The fourth proportional to 408,075,152.80, 613,307,122.80 and 355,521,834.40 is: 534,323,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075,152.80 : 613,307,122.80 = 355,521,834.40 : x
  2. Step 2: Convert to fraction form
    408,075,152.80/613,307,122.80 = 355,521,834.40/x
  3. Step 3: Cross multiply
    408,075,152.80x = 613,307,122.80 × 355,521,834.40
  4. Step 4: Simplify right side
    408,075,152.80x = 218,044,073,348,442,048
  5. Step 5: Solve for x
    x = 218,044,073,348,442,048/408,075,152.80
  6. Step 6: Final answer
    x = 534,323,327.09

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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.