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Finding the Fourth Proportional to 415,045.40, 622,568.10 and 345,061.40

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Solution

The fourth proportional to 415,045.40, 622,568.10 and 345,061.40 is: 517,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,045.40 : 622,568.10 = 345,061.40 : x
  2. Step 2: Convert to fraction form
    415,045.40/622,568.10 = 345,061.40/x
  3. Step 3: Cross multiply
    415,045.40x = 622,568.10 × 345,061.40
  4. Step 4: Simplify right side
    415,045.40x = 214,824,220,181.34
  5. Step 5: Solve for x
    x = 214,824,220,181.34/415,045.40
  6. Step 6: Final answer
    x = 517,592.10

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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.