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Finding the Fourth Proportional to 303,398.12, 455,161.98 and 116,408

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Solution

The fourth proportional to 303,398.12, 455,161.98 and 116,408 is: 174,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,398.12 : 455,161.98 = 116,408 : x
  2. Step 2: Convert to fraction form
    303,398.12/455,161.98 = 116,408/x
  3. Step 3: Cross multiply
    303,398.12x = 455,161.98 × 116,408
  4. Step 4: Simplify right side
    303,398.12x = 52,984,495,767.84
  5. Step 5: Solve for x
    x = 52,984,495,767.84/303,398.12
  6. Step 6: Final answer
    x = 174,636.86

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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.