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Finding the Fourth Proportional to 419,458.22, 578,892.60 and 258,407.54

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Solution

The fourth proportional to 419,458.22, 578,892.60 and 258,407.54 is: 356,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,458.22 : 578,892.60 = 258,407.54 : x
  2. Step 2: Convert to fraction form
    419,458.22/578,892.60 = 258,407.54/x
  3. Step 3: Cross multiply
    419,458.22x = 578,892.60 × 258,407.54
  4. Step 4: Simplify right side
    419,458.22x = 149,590,209,795.74
  5. Step 5: Solve for x
    x = 149,590,209,795.74/419,458.22
  6. Step 6: Final answer
    x = 356,627.20

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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.