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Finding the Fourth Proportional to 492,657.75, 679,887.86 and 311,303.50

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Solution

The fourth proportional to 492,657.75, 679,887.86 and 311,303.50 is: 429,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,657.75 : 679,887.86 = 311,303.50 : x
  2. Step 2: Convert to fraction form
    492,657.75/679,887.86 = 311,303.50/x
  3. Step 3: Cross multiply
    492,657.75x = 679,887.86 × 311,303.50
  4. Step 4: Simplify right side
    492,657.75x = 211,651,470,425.51
  5. Step 5: Solve for x
    x = 211,651,470,425.51/492,657.75
  6. Step 6: Final answer
    x = 429,611.57

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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.