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Finding the Fourth Proportional to 506,861.58, 699,393.73 and 307,847.23

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Solution

The fourth proportional to 506,861.58, 699,393.73 and 307,847.23 is: 424,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,861.58 : 699,393.73 = 307,847.23 : x
  2. Step 2: Convert to fraction form
    506,861.58/699,393.73 = 307,847.23/x
  3. Step 3: Cross multiply
    506,861.58x = 699,393.73 × 307,847.23
  4. Step 4: Simplify right side
    506,861.58x = 215,306,419,941.77
  5. Step 5: Solve for x
    x = 215,306,419,941.77/506,861.58
  6. Step 6: Final answer
    x = 424,783.47

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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.