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Finding the Fourth Proportional to 403,750.77, 605,719.89 and 137,513.58

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Solution

The fourth proportional to 403,750.77, 605,719.89 and 137,513.58 is: 206,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,750.77 : 605,719.89 = 137,513.58 : x
  2. Step 2: Convert to fraction form
    403,750.77/605,719.89 = 137,513.58/x
  3. Step 3: Cross multiply
    403,750.77x = 605,719.89 × 137,513.58
  4. Step 4: Simplify right side
    403,750.77x = 83,294,710,551.11
  5. Step 5: Solve for x
    x = 83,294,710,551.11/403,750.77
  6. Step 6: Final answer
    x = 206,302.30

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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.