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Finding the Fourth Proportional to 504,309.97, 695,948.02 and 286,519.02

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Solution

The fourth proportional to 504,309.97, 695,948.02 and 286,519.02 is: 395,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,309.97 : 695,948.02 = 286,519.02 : x
  2. Step 2: Convert to fraction form
    504,309.97/695,948.02 = 286,519.02/x
  3. Step 3: Cross multiply
    504,309.97x = 695,948.02 × 286,519.02
  4. Step 4: Simplify right side
    504,309.97x = 199,402,345,249.95
  5. Step 5: Solve for x
    x = 199,402,345,249.95/504,309.97
  6. Step 6: Final answer
    x = 395,396.40

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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.