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Finding the Fourth Proportional to 461,253.20, 691,649.40 and 211,653.20

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Solution

The fourth proportional to 461,253.20, 691,649.40 and 211,653.20 is: 317,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,253.20 : 691,649.40 = 211,653.20 : x
  2. Step 2: Convert to fraction form
    461,253.20/691,649.40 = 211,653.20/x
  3. Step 3: Cross multiply
    461,253.20x = 691,649.40 × 211,653.20
  4. Step 4: Simplify right side
    461,253.20x = 146,389,808,788.08
  5. Step 5: Solve for x
    x = 146,389,808,788.08/461,253.20
  6. Step 6: Final answer
    x = 317,374.08

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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.