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Finding the Fourth Proportional to 354,411.70, 531,433.95 and 105,061.30

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Solution

The fourth proportional to 354,411.70, 531,433.95 and 105,061.30 is: 157,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,411.70 : 531,433.95 = 105,061.30 : x
  2. Step 2: Convert to fraction form
    354,411.70/531,433.95 = 105,061.30/x
  3. Step 3: Cross multiply
    354,411.70x = 531,433.95 × 105,061.30
  4. Step 4: Simplify right side
    354,411.70x = 55,833,141,651.14
  5. Step 5: Solve for x
    x = 55,833,141,651.14/354,411.70
  6. Step 6: Final answer
    x = 157,537.52

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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.