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Finding the Fourth Proportional to 611,969.60, 917,695.20 and 296,523.20

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Solution

The fourth proportional to 611,969.60, 917,695.20 and 296,523.20 is: 444,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,969.60 : 917,695.20 = 296,523.20 : x
  2. Step 2: Convert to fraction form
    611,969.60/917,695.20 = 296,523.20/x
  3. Step 3: Cross multiply
    611,969.60x = 917,695.20 × 296,523.20
  4. Step 4: Simplify right side
    611,969.60x = 272,117,917,328.64
  5. Step 5: Solve for x
    x = 272,117,917,328.64/611,969.60
  6. Step 6: Final answer
    x = 444,659.21

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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.