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Finding the Fourth Proportional to 415,805.80, 624,000.30 and 266,409.40

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Solution

The fourth proportional to 415,805.80, 624,000.30 and 266,409.40 is: 399,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805.80 : 624,000.30 = 266,409.40 : x
  2. Step 2: Convert to fraction form
    415,805.80/624,000.30 = 266,409.40/x
  3. Step 3: Cross multiply
    415,805.80x = 624,000.30 × 266,409.40
  4. Step 4: Simplify right side
    415,805.80x = 166,239,545,522.82
  5. Step 5: Solve for x
    x = 166,239,545,522.82/415,805.80
  6. Step 6: Final answer
    x = 399,800.93

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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.