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Finding the Fourth Proportional to 611,866.85, 917,705.50 and 312,568.61

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Solution

The fourth proportional to 611,866.85, 917,705.50 and 312,568.61 is: 468,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,866.85 : 917,705.50 = 312,568.61 : x
  2. Step 2: Convert to fraction form
    611,866.85/917,705.50 = 312,568.61/x
  3. Step 3: Cross multiply
    611,866.85x = 917,705.50 × 312,568.61
  4. Step 4: Simplify right side
    611,866.85x = 286,845,927,154.41
  5. Step 5: Solve for x
    x = 286,845,927,154.41/611,866.85
  6. Step 6: Final answer
    x = 468,804.49

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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.