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Finding the Fourth Proportional to 410,285.55, 565,747.70 and 266,779.47

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Solution

The fourth proportional to 410,285.55, 565,747.70 and 266,779.47 is: 367,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,285.55 : 565,747.70 = 266,779.47 : x
  2. Step 2: Convert to fraction form
    410,285.55/565,747.70 = 266,779.47/x
  3. Step 3: Cross multiply
    410,285.55x = 565,747.70 × 266,779.47
  4. Step 4: Simplify right side
    410,285.55x = 150,929,870,225.82
  5. Step 5: Solve for x
    x = 150,929,870,225.82/410,285.55
  6. Step 6: Final answer
    x = 367,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.