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Finding the Fourth Proportional to 504,645.60, 756,952 and 205,037.60

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Solution

The fourth proportional to 504,645.60, 756,952 and 205,037.60 is: 307,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,645.60 : 756,952 = 205,037.60 : x
  2. Step 2: Convert to fraction form
    504,645.60/756,952 = 205,037.60/x
  3. Step 3: Cross multiply
    504,645.60x = 756,952 × 205,037.60
  4. Step 4: Simplify right side
    504,645.60x = 155,203,621,395.20
  5. Step 5: Solve for x
    x = 155,203,621,395.20/504,645.60
  6. Step 6: Final answer
    x = 307,549.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.