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Finding the Fourth Proportional to 617,809,271.80, 926,699,738.10 and 311,018,999.80

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Solution

The fourth proportional to 617,809,271.80, 926,699,738.10 and 311,018,999.80 is: 466,521,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,809,271.80 : 926,699,738.10 = 311,018,999.80 : x
  2. Step 2: Convert to fraction form
    617,809,271.80/926,699,738.10 = 311,018,999.80/x
  3. Step 3: Cross multiply
    617,809,271.80x = 926,699,738.10 × 311,018,999.80
  4. Step 4: Simplify right side
    617,809,271.80x = 288,221,225,658,783,968
  5. Step 5: Solve for x
    x = 288,221,225,658,783,968/617,809,271.80
  6. Step 6: Final answer
    x = 466,521,366.41

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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.