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Finding the Fourth Proportional to 307,712.90, 461,569.35 and 188,999.30

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Solution

The fourth proportional to 307,712.90, 461,569.35 and 188,999.30 is: 283,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,712.90 : 461,569.35 = 188,999.30 : x
  2. Step 2: Convert to fraction form
    307,712.90/461,569.35 = 188,999.30/x
  3. Step 3: Cross multiply
    307,712.90x = 461,569.35 × 188,999.30
  4. Step 4: Simplify right side
    307,712.90x = 87,236,284,051.46
  5. Step 5: Solve for x
    x = 87,236,284,051.46/307,712.90
  6. Step 6: Final answer
    x = 283,498.95

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1.5x scale

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.