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Finding the Fourth Proportional to 501,559.38, 692,151.84 and 286,704

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Solution

The fourth proportional to 501,559.38, 692,151.84 and 286,704 is: 395,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,559.38 : 692,151.84 = 286,704 : x
  2. Step 2: Convert to fraction form
    501,559.38/692,151.84 = 286,704/x
  3. Step 3: Cross multiply
    501,559.38x = 692,151.84 × 286,704
  4. Step 4: Simplify right side
    501,559.38x = 198,442,701,135.36
  5. Step 5: Solve for x
    x = 198,442,701,135.36/501,559.38
  6. Step 6: Final answer
    x = 395,651.46

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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.