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Finding the Fourth Proportional to 415,809.30, 624,005.55 and 266,412.90

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Solution

The fourth proportional to 415,809.30, 624,005.55 and 266,412.90 is: 399,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809.30 : 624,005.55 = 266,412.90 : x
  2. Step 2: Convert to fraction form
    415,809.30/624,005.55 = 266,412.90/x
  3. Step 3: Cross multiply
    415,809.30x = 624,005.55 × 266,412.90
  4. Step 4: Simplify right side
    415,809.30x = 166,243,128,191.60
  5. Step 5: Solve for x
    x = 166,243,128,191.60/415,809.30
  6. Step 6: Final answer
    x = 399,806.18

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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.