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Finding the Fourth Proportional to 611,757.58, 917,729.73 and 312,074.66

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Solution

The fourth proportional to 611,757.58, 917,729.73 and 312,074.66 is: 468,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,757.58 : 917,729.73 = 312,074.66 : x
  2. Step 2: Convert to fraction form
    611,757.58/917,729.73 = 312,074.66/x
  3. Step 3: Cross multiply
    611,757.58x = 917,729.73 × 312,074.66
  4. Step 4: Simplify right side
    611,757.58x = 286,400,193,461.64
  5. Step 5: Solve for x
    x = 286,400,193,461.64/611,757.58
  6. Step 6: Final answer
    x = 468,159.62

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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.