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Finding the Fourth Proportional to 610,417.40, 914,978.10 and 294,668.60

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Solution

The fourth proportional to 610,417.40, 914,978.10 and 294,668.60 is: 441,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,417.40 : 914,978.10 = 294,668.60 : x
  2. Step 2: Convert to fraction form
    610,417.40/914,978.10 = 294,668.60/x
  3. Step 3: Cross multiply
    610,417.40x = 914,978.10 × 294,668.60
  4. Step 4: Simplify right side
    610,417.40x = 269,615,315,757.66
  5. Step 5: Solve for x
    x = 269,615,315,757.66/610,417.40
  6. Step 6: Final answer
    x = 441,690.09

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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.