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Finding the Fourth Proportional to 509,970.72, 703,749.60 and 283,611.36

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Solution

The fourth proportional to 509,970.72, 703,749.60 and 283,611.36 is: 391,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,970.72 : 703,749.60 = 283,611.36 : x
  2. Step 2: Convert to fraction form
    509,970.72/703,749.60 = 283,611.36/x
  3. Step 3: Cross multiply
    509,970.72x = 703,749.60 × 283,611.36
  4. Step 4: Simplify right side
    509,970.72x = 199,591,381,155.46
  5. Step 5: Solve for x
    x = 199,591,381,155.46/509,970.72
  6. Step 6: Final answer
    x = 391,378.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.