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Finding the Fourth Proportional to 407,285.34, 610,133.33 and 266,617.50

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Solution

The fourth proportional to 407,285.34, 610,133.33 and 266,617.50 is: 399,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,285.34 : 610,133.33 = 266,617.50 : x
  2. Step 2: Convert to fraction form
    407,285.34/610,133.33 = 266,617.50/x
  3. Step 3: Cross multiply
    407,285.34x = 610,133.33 × 266,617.50
  4. Step 4: Simplify right side
    407,285.34x = 162,672,221,778.19
  5. Step 5: Solve for x
    x = 162,672,221,778.19/407,285.34
  6. Step 6: Final answer
    x = 399,406.03

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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.