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Finding the Fourth Proportional to 407,855.70, 611,783.55 and 266,138.10

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Solution

The fourth proportional to 407,855.70, 611,783.55 and 266,138.10 is: 399,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,855.70 : 611,783.55 = 266,138.10 : x
  2. Step 2: Convert to fraction form
    407,855.70/611,783.55 = 266,138.10/x
  3. Step 3: Cross multiply
    407,855.70x = 611,783.55 × 266,138.10
  4. Step 4: Simplify right side
    407,855.70x = 162,818,911,608.26
  5. Step 5: Solve for x
    x = 162,818,911,608.26/407,855.70
  6. Step 6: Final answer
    x = 399,207.15

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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.