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Finding the Fourth Proportional to 820,978,751.61, 1,132,950,319.39 and 444,635,356.86

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Solution

The fourth proportional to 820,978,751.61, 1,132,950,319.39 and 444,635,356.86 is: 613,596,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,978,751.61 : 1,132,950,319.39 = 444,635,356.86 : x
  2. Step 2: Convert to fraction form
    820,978,751.61/1,132,950,319.39 = 444,635,356.86/x
  3. Step 3: Cross multiply
    820,978,751.61x = 1,132,950,319.39 × 444,635,356.86
  4. Step 4: Simplify right side
    820,978,751.61x = 503,749,769,566,623,680
  5. Step 5: Solve for x
    x = 503,749,769,566,623,680/820,978,751.61
  6. Step 6: Final answer
    x = 613,596,598.67

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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.