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Finding the Fourth Proportional to 665,870.91, 999,517.13 and 286,978.63

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Solution

The fourth proportional to 665,870.91, 999,517.13 and 286,978.63 is: 430,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,870.91 : 999,517.13 = 286,978.63 : x
  2. Step 2: Convert to fraction form
    665,870.91/999,517.13 = 286,978.63/x
  3. Step 3: Cross multiply
    665,870.91x = 999,517.13 × 286,978.63
  4. Step 4: Simplify right side
    665,870.91x = 286,840,056,628.93
  5. Step 5: Solve for x
    x = 286,840,056,628.93/665,870.91
  6. Step 6: Final answer
    x = 430,774.27

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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.