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Finding the Fourth Proportional to 362,004, 543,020.64 and 172,366.80

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Solution

The fourth proportional to 362,004, 543,020.64 and 172,366.80 is: 258,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,004 : 543,020.64 = 172,366.80 : x
  2. Step 2: Convert to fraction form
    362,004/543,020.64 = 172,366.80/x
  3. Step 3: Cross multiply
    362,004x = 543,020.64 × 172,366.80
  4. Step 4: Simplify right side
    362,004x = 93,598,730,050.75
  5. Step 5: Solve for x
    x = 93,598,730,050.75/362,004
  6. Step 6: Final answer
    x = 258,557.17

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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.