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Finding the Fourth Proportional to 415,807.80, 624,003.30 and 266,411.40

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Solution

The fourth proportional to 415,807.80, 624,003.30 and 266,411.40 is: 399,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,807.80 : 624,003.30 = 266,411.40 : x
  2. Step 2: Convert to fraction form
    415,807.80/624,003.30 = 266,411.40/x
  3. Step 3: Cross multiply
    415,807.80x = 624,003.30 × 266,411.40
  4. Step 4: Simplify right side
    415,807.80x = 166,241,592,757.62
  5. Step 5: Solve for x
    x = 166,241,592,757.62/415,807.80
  6. Step 6: Final answer
    x = 399,803.93

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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.