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Finding the Fourth Proportional to 258,466.83, 356,700.56 and 145,296.87

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Solution

The fourth proportional to 258,466.83, 356,700.56 and 145,296.87 is: 200,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466.83 : 356,700.56 = 145,296.87 : x
  2. Step 2: Convert to fraction form
    258,466.83/356,700.56 = 145,296.87/x
  3. Step 3: Cross multiply
    258,466.83x = 356,700.56 × 145,296.87
  4. Step 4: Simplify right side
    258,466.83x = 51,827,474,168.76
  5. Step 5: Solve for x
    x = 51,827,474,168.76/258,466.83
  6. Step 6: Final answer
    x = 200,518.86

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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.