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Finding the Fourth Proportional to 705,406.50, 973,468.13 and 383,122.89

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Solution

The fourth proportional to 705,406.50, 973,468.13 and 383,122.89 is: 528,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,406.50 : 973,468.13 = 383,122.89 : x
  2. Step 2: Convert to fraction form
    705,406.50/973,468.13 = 383,122.89/x
  3. Step 3: Cross multiply
    705,406.50x = 973,468.13 × 383,122.89
  4. Step 4: Simplify right side
    705,406.50x = 372,957,921,372.88
  5. Step 5: Solve for x
    x = 372,957,921,372.88/705,406.50
  6. Step 6: Final answer
    x = 528,713.47

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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.