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Finding the Fourth Proportional to 684,703.80, 1,027,683.45 and 347,978.70

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Solution

The fourth proportional to 684,703.80, 1,027,683.45 and 347,978.70 is: 522,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,703.80 : 1,027,683.45 = 347,978.70 : x
  2. Step 2: Convert to fraction form
    684,703.80/1,027,683.45 = 347,978.70/x
  3. Step 3: Cross multiply
    684,703.80x = 1,027,683.45 × 347,978.70
  4. Step 4: Simplify right side
    684,703.80x = 357,611,950,942.52
  5. Step 5: Solve for x
    x = 357,611,950,942.52/684,703.80
  6. Step 6: Final answer
    x = 522,287.08

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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.