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Finding the Fourth Proportional to 428,094.38, 590,774.60 and 258,295.70

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Solution

The fourth proportional to 428,094.38, 590,774.60 and 258,295.70 is: 356,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,094.38 : 590,774.60 = 258,295.70 : x
  2. Step 2: Convert to fraction form
    428,094.38/590,774.60 = 258,295.70/x
  3. Step 3: Cross multiply
    428,094.38x = 590,774.60 × 258,295.70
  4. Step 4: Simplify right side
    428,094.38x = 152,594,538,849.22
  5. Step 5: Solve for x
    x = 152,594,538,849.22/428,094.38
  6. Step 6: Final answer
    x = 356,450.69

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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.