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Finding the Fourth Proportional to 667,106.01, 920,714.58 and 409,126.41

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Solution

The fourth proportional to 667,106.01, 920,714.58 and 409,126.41 is: 564,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,106.01 : 920,714.58 = 409,126.41 : x
  2. Step 2: Convert to fraction form
    667,106.01/920,714.58 = 409,126.41/x
  3. Step 3: Cross multiply
    667,106.01x = 920,714.58 × 409,126.41
  4. Step 4: Simplify right side
    667,106.01x = 376,688,650,750.06
  5. Step 5: Solve for x
    x = 376,688,650,750.06/667,106.01
  6. Step 6: Final answer
    x = 564,660.86

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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.