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Finding the Fourth Proportional to 426,257.40, 638,543.70 and 216,046.20

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Solution

The fourth proportional to 426,257.40, 638,543.70 and 216,046.20 is: 323,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,257.40 : 638,543.70 = 216,046.20 : x
  2. Step 2: Convert to fraction form
    426,257.40/638,543.70 = 216,046.20/x
  3. Step 3: Cross multiply
    426,257.40x = 638,543.70 × 216,046.20
  4. Step 4: Simplify right side
    426,257.40x = 137,954,939,918.94
  5. Step 5: Solve for x
    x = 137,954,939,918.94/426,257.40
  6. Step 6: Final answer
    x = 323,642.33

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1.5x scale

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.