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Finding the Fourth Proportional to 362,421.80, 543,287.10 and 282,415.40

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Solution

The fourth proportional to 362,421.80, 543,287.10 and 282,415.40 is: 423,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,421.80 : 543,287.10 = 282,415.40 : x
  2. Step 2: Convert to fraction form
    362,421.80/543,287.10 = 282,415.40/x
  3. Step 3: Cross multiply
    362,421.80x = 543,287.10 × 282,415.40
  4. Step 4: Simplify right side
    362,421.80x = 153,432,643,661.34
  5. Step 5: Solve for x
    x = 153,432,643,661.34/362,421.80
  6. Step 6: Final answer
    x = 423,353.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.