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Finding the Fourth Proportional to 550,000, 758,424.32 and 407,059.84

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Solution

The fourth proportional to 550,000, 758,424.32 and 407,059.84 is: 561,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,000 : 758,424.32 = 407,059.84 : x
  2. Step 2: Convert to fraction form
    550,000/758,424.32 = 407,059.84/x
  3. Step 3: Cross multiply
    550,000x = 758,424.32 × 407,059.84
  4. Step 4: Simplify right side
    550,000x = 308,724,082,351.31
  5. Step 5: Solve for x
    x = 308,724,082,351.31/550,000
  6. Step 6: Final answer
    x = 561,316.51

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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.