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Finding the Fourth Proportional to 506,814.60, 699,395.22 and 291,954

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Solution

The fourth proportional to 506,814.60, 699,395.22 and 291,954 is: 402,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,814.60 : 699,395.22 = 291,954 : x
  2. Step 2: Convert to fraction form
    506,814.60/699,395.22 = 291,954/x
  3. Step 3: Cross multiply
    506,814.60x = 699,395.22 × 291,954
  4. Step 4: Simplify right side
    506,814.60x = 204,191,232,059.88
  5. Step 5: Solve for x
    x = 204,191,232,059.88/506,814.60
  6. Step 6: Final answer
    x = 402,891.38

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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.