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Finding the Fourth Proportional to 318,262.48, 476,702.52 and 309,415.12

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Solution

The fourth proportional to 318,262.48, 476,702.52 and 309,415.12 is: 463,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,262.48 : 476,702.52 = 309,415.12 : x
  2. Step 2: Convert to fraction form
    318,262.48/476,702.52 = 309,415.12/x
  3. Step 3: Cross multiply
    318,262.48x = 476,702.52 × 309,415.12
  4. Step 4: Simplify right side
    318,262.48x = 147,498,967,430.10
  5. Step 5: Solve for x
    x = 147,498,967,430.10/318,262.48
  6. Step 6: Final answer
    x = 463,450.69

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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.