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Finding the Fourth Proportional to 505,866,687.42, 697,409,500.70 and 354,954,300.07

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Solution

The fourth proportional to 505,866,687.42, 697,409,500.70 and 354,954,300.07 is: 489,355,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,866,687.42 : 697,409,500.70 = 354,954,300.07 : x
  2. Step 2: Convert to fraction form
    505,866,687.42/697,409,500.70 = 354,954,300.07/x
  3. Step 3: Cross multiply
    505,866,687.42x = 697,409,500.70 × 354,954,300.07
  4. Step 4: Simplify right side
    505,866,687.42x = 247,548,501,180,293,664
  5. Step 5: Solve for x
    x = 247,548,501,180,293,664/505,866,687.42
  6. Step 6: Final answer
    x = 489,355,214.20

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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.