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Finding the Fourth Proportional to 865,952.70, 1,298,698.65 and 266,912.70

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Solution

The fourth proportional to 865,952.70, 1,298,698.65 and 266,912.70 is: 400,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,952.70 : 1,298,698.65 = 266,912.70 : x
  2. Step 2: Convert to fraction form
    865,952.70/1,298,698.65 = 266,912.70/x
  3. Step 3: Cross multiply
    865,952.70x = 1,298,698.65 × 266,912.70
  4. Step 4: Simplify right side
    865,952.70x = 346,639,163,157.86
  5. Step 5: Solve for x
    x = 346,639,163,157.86/865,952.70
  6. Step 6: Final answer
    x = 400,298.03

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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.