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Finding the Fourth Proportional to 398,246.30, 596,385.30 and 264,401.90

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Solution

The fourth proportional to 398,246.30, 596,385.30 and 264,401.90 is: 395,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,246.30 : 596,385.30 = 264,401.90 : x
  2. Step 2: Convert to fraction form
    398,246.30/596,385.30 = 264,401.90/x
  3. Step 3: Cross multiply
    398,246.30x = 596,385.30 × 264,401.90
  4. Step 4: Simplify right side
    398,246.30x = 157,685,406,452.07
  5. Step 5: Solve for x
    x = 157,685,406,452.07/398,246.30
  6. Step 6: Final answer
    x = 395,949.46

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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.