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Finding the Fourth Proportional to 428,111.60, 590,703 and 258,342.80

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Solution

The fourth proportional to 428,111.60, 590,703 and 258,342.80 is: 356,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,111.60 : 590,703 = 258,342.80 : x
  2. Step 2: Convert to fraction form
    428,111.60/590,703 = 258,342.80/x
  3. Step 3: Cross multiply
    428,111.60x = 590,703 × 258,342.80
  4. Step 4: Simplify right side
    428,111.60x = 152,603,866,988.40
  5. Step 5: Solve for x
    x = 152,603,866,988.40/428,111.60
  6. Step 6: Final answer
    x = 356,458.15

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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.