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Finding the Fourth Proportional to 428,124.96, 590,874.48 and 258,383.52

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Solution

The fourth proportional to 428,124.96, 590,874.48 and 258,383.52 is: 356,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,124.96 : 590,874.48 = 258,383.52 : x
  2. Step 2: Convert to fraction form
    428,124.96/590,874.48 = 258,383.52/x
  3. Step 3: Cross multiply
    428,124.96x = 590,874.48 × 258,383.52
  4. Step 4: Simplify right side
    428,124.96x = 152,672,228,020.57
  5. Step 5: Solve for x
    x = 152,672,228,020.57/428,124.96
  6. Step 6: Final answer
    x = 356,606.70

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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.