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Finding the Fourth Proportional to 415,811.80, 624,009.30 and 266,415.40

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Solution

The fourth proportional to 415,811.80, 624,009.30 and 266,415.40 is: 399,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.80 : 624,009.30 = 266,415.40 : x
  2. Step 2: Convert to fraction form
    415,811.80/624,009.30 = 266,415.40/x
  3. Step 3: Cross multiply
    415,811.80x = 624,009.30 × 266,415.40
  4. Step 4: Simplify right side
    415,811.80x = 166,245,687,263.22
  5. Step 5: Solve for x
    x = 166,245,687,263.22/415,811.80
  6. Step 6: Final answer
    x = 399,809.93

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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.