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Finding the Fourth Proportional to 354,061.80, 531,092.70 and 307,405.80

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Solution

The fourth proportional to 354,061.80, 531,092.70 and 307,405.80 is: 461,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,061.80 : 531,092.70 = 307,405.80 : x
  2. Step 2: Convert to fraction form
    354,061.80/531,092.70 = 307,405.80/x
  3. Step 3: Cross multiply
    354,061.80x = 531,092.70 × 307,405.80
  4. Step 4: Simplify right side
    354,061.80x = 163,260,976,317.66
  5. Step 5: Solve for x
    x = 163,260,976,317.66/354,061.80
  6. Step 6: Final answer
    x = 461,108.70

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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.