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Finding the Fourth Proportional to 286,636.83, 430,128.05 and 99,779.55

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Solution

The fourth proportional to 286,636.83, 430,128.05 and 99,779.55 is: 149,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,636.83 : 430,128.05 = 99,779.55 : x
  2. Step 2: Convert to fraction form
    286,636.83/430,128.05 = 99,779.55/x
  3. Step 3: Cross multiply
    286,636.83x = 430,128.05 × 99,779.55
  4. Step 4: Simplify right side
    286,636.83x = 42,917,982,772.48
  5. Step 5: Solve for x
    x = 42,917,982,772.48/286,636.83
  6. Step 6: Final answer
    x = 149,729.48

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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.