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Finding the Fourth Proportional to 462,541.59, 638,073.59 and 309,586.19

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Solution

The fourth proportional to 462,541.59, 638,073.59 and 309,586.19 is: 427,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,541.59 : 638,073.59 = 309,586.19 : x
  2. Step 2: Convert to fraction form
    462,541.59/638,073.59 = 309,586.19/x
  3. Step 3: Cross multiply
    462,541.59x = 638,073.59 × 309,586.19
  4. Step 4: Simplify right side
    462,541.59x = 197,538,766,929.42
  5. Step 5: Solve for x
    x = 197,538,766,929.42/462,541.59
  6. Step 6: Final answer
    x = 427,072.44

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1.5x scale

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.