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Finding the Fourth Proportional to 286,978.76, 430,470.30 and 99,989.96

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Solution

The fourth proportional to 286,978.76, 430,470.30 and 99,989.96 is: 149,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,978.76 : 430,470.30 = 99,989.96 : x
  2. Step 2: Convert to fraction form
    286,978.76/430,470.30 = 99,989.96/x
  3. Step 3: Cross multiply
    286,978.76x = 430,470.30 × 99,989.96
  4. Step 4: Simplify right side
    286,978.76x = 43,042,708,078.19
  5. Step 5: Solve for x
    x = 43,042,708,078.19/286,978.76
  6. Step 6: Final answer
    x = 149,985.69

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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.