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Finding the Fourth Proportional to 407,064.84, 561,100.41 and 320,883.27

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Solution

The fourth proportional to 407,064.84, 561,100.41 and 320,883.27 is: 442,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,064.84 : 561,100.41 = 320,883.27 : x
  2. Step 2: Convert to fraction form
    407,064.84/561,100.41 = 320,883.27/x
  3. Step 3: Cross multiply
    407,064.84x = 561,100.41 × 320,883.27
  4. Step 4: Simplify right side
    407,064.84x = 180,047,734,359.14
  5. Step 5: Solve for x
    x = 180,047,734,359.14/407,064.84
  6. Step 6: Final answer
    x = 442,307.26

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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.