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Finding the Fourth Proportional to 405,092.80, 607,639.20 and 385,409.80

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Solution

The fourth proportional to 405,092.80, 607,639.20 and 385,409.80 is: 578,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,092.80 : 607,639.20 = 385,409.80 : x
  2. Step 2: Convert to fraction form
    405,092.80/607,639.20 = 385,409.80/x
  3. Step 3: Cross multiply
    405,092.80x = 607,639.20 × 385,409.80
  4. Step 4: Simplify right side
    405,092.80x = 234,190,102,544.16
  5. Step 5: Solve for x
    x = 234,190,102,544.16/405,092.80
  6. Step 6: Final answer
    x = 578,114.70

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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.