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Finding the Fourth Proportional to 405,764.94, 608,859.59 and 166,056.78

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Solution

The fourth proportional to 405,764.94, 608,859.59 and 166,056.78 is: 249,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,764.94 : 608,859.59 = 166,056.78 : x
  2. Step 2: Convert to fraction form
    405,764.94/608,859.59 = 166,056.78/x
  3. Step 3: Cross multiply
    405,764.94x = 608,859.59 × 166,056.78
  4. Step 4: Simplify right side
    405,764.94x = 101,105,264,440.46
  5. Step 5: Solve for x
    x = 101,105,264,440.46/405,764.94
  6. Step 6: Final answer
    x = 249,172.00

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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.