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Finding the Fourth Proportional to 345,767.40, 477,195.30 and 260,749.80

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Solution

The fourth proportional to 345,767.40, 477,195.30 and 260,749.80 is: 359,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,767.40 : 477,195.30 = 260,749.80 : x
  2. Step 2: Convert to fraction form
    345,767.40/477,195.30 = 260,749.80/x
  3. Step 3: Cross multiply
    345,767.40x = 477,195.30 × 260,749.80
  4. Step 4: Simplify right side
    345,767.40x = 124,428,579,035.94
  5. Step 5: Solve for x
    x = 124,428,579,035.94/345,767.40
  6. Step 6: Final answer
    x = 359,862.09

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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.