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Finding the Fourth Proportional to 642,165,258.50, 886,261,571.82 and 359,983,913

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Solution

The fourth proportional to 642,165,258.50, 886,261,571.82 and 359,983,913 is: 496,819,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,165,258.50 : 886,261,571.82 = 359,983,913 : x
  2. Step 2: Convert to fraction form
    642,165,258.50/886,261,571.82 = 359,983,913/x
  3. Step 3: Cross multiply
    642,165,258.50x = 886,261,571.82 × 359,983,913
  4. Step 4: Simplify right side
    642,165,258.50x = 319,039,908,565,294,144
  5. Step 5: Solve for x
    x = 319,039,908,565,294,144/642,165,258.50
  6. Step 6: Final answer
    x = 496,819,010.90

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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.