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Finding the Fourth Proportional to 347,343, 521,014.49 and 98,025

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Solution

The fourth proportional to 347,343, 521,014.49 and 98,025 is: 147,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,343 : 521,014.49 = 98,025 : x
  2. Step 2: Convert to fraction form
    347,343/521,014.49 = 98,025/x
  3. Step 3: Cross multiply
    347,343x = 521,014.49 × 98,025
  4. Step 4: Simplify right side
    347,343x = 51,072,445,382.25
  5. Step 5: Solve for x
    x = 51,072,445,382.25/347,343
  6. Step 6: Final answer
    x = 147,037.50

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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.