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Finding the Fourth Proportional to 428,094.91, 590,775.31 and 258,296.23

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Solution

The fourth proportional to 428,094.91, 590,775.31 and 258,296.23 is: 356,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,094.91 : 590,775.31 = 258,296.23 : x
  2. Step 2: Convert to fraction form
    428,094.91/590,775.31 = 258,296.23/x
  3. Step 3: Cross multiply
    428,094.91x = 590,775.31 × 258,296.23
  4. Step 4: Simplify right side
    428,094.91x = 152,595,035,350.08
  5. Step 5: Solve for x
    x = 152,595,035,350.08/428,094.91
  6. Step 6: Final answer
    x = 356,451.41

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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.