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Finding the Fourth Proportional to 911,468.34, 1,367,082.63 and 280,329.30

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Solution

The fourth proportional to 911,468.34, 1,367,082.63 and 280,329.30 is: 420,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,468.34 : 1,367,082.63 = 280,329.30 : x
  2. Step 2: Convert to fraction form
    911,468.34/1,367,082.63 = 280,329.30/x
  3. Step 3: Cross multiply
    911,468.34x = 1,367,082.63 × 280,329.30
  4. Step 4: Simplify right side
    911,468.34x = 383,233,316,710.06
  5. Step 5: Solve for x
    x = 383,233,316,710.06/911,468.34
  6. Step 6: Final answer
    x = 420,457.08

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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.