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Finding the Fourth Proportional to 415,714.94, 622,938 and 216,100.16

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Solution

The fourth proportional to 415,714.94, 622,938 and 216,100.16 is: 323,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,714.94 : 622,938 = 216,100.16 : x
  2. Step 2: Convert to fraction form
    415,714.94/622,938 = 216,100.16/x
  3. Step 3: Cross multiply
    415,714.94x = 622,938 × 216,100.16
  4. Step 4: Simplify right side
    415,714.94x = 134,617,001,470.08
  5. Step 5: Solve for x
    x = 134,617,001,470.08/415,714.94
  6. Step 6: Final answer
    x = 323,820.46

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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.