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Finding the Fourth Proportional to 462,612.58, 638,209.84 and 309,700.02

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Solution

The fourth proportional to 462,612.58, 638,209.84 and 309,700.02 is: 427,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,612.58 : 638,209.84 = 309,700.02 : x
  2. Step 2: Convert to fraction form
    462,612.58/638,209.84 = 309,700.02/x
  3. Step 3: Cross multiply
    462,612.58x = 638,209.84 × 309,700.02
  4. Step 4: Simplify right side
    462,612.58x = 197,653,600,212.20
  5. Step 5: Solve for x
    x = 197,653,600,212.20/462,612.58
  6. Step 6: Final answer
    x = 427,255.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.