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Finding the Fourth Proportional to 503,749.94, 695,147.73 and 288,899.06

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Solution

The fourth proportional to 503,749.94, 695,147.73 and 288,899.06 is: 398,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,749.94 : 695,147.73 = 288,899.06 : x
  2. Step 2: Convert to fraction form
    503,749.94/695,147.73 = 288,899.06/x
  3. Step 3: Cross multiply
    503,749.94x = 695,147.73 × 288,899.06
  4. Step 4: Simplify right side
    503,749.94x = 200,827,525,758.13
  5. Step 5: Solve for x
    x = 200,827,525,758.13/503,749.94
  6. Step 6: Final answer
    x = 398,665.11

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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.