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Finding the Fourth Proportional to 611,853.97, 917,686.18 and 312,555.73

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Solution

The fourth proportional to 611,853.97, 917,686.18 and 312,555.73 is: 468,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,853.97 : 917,686.18 = 312,555.73 : x
  2. Step 2: Convert to fraction form
    611,853.97/917,686.18 = 312,555.73/x
  3. Step 3: Cross multiply
    611,853.97x = 917,686.18 × 312,555.73
  4. Step 4: Simplify right side
    611,853.97x = 286,828,073,900.81
  5. Step 5: Solve for x
    x = 286,828,073,900.81/611,853.97
  6. Step 6: Final answer
    x = 468,785.18

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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.