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Finding the Fourth Proportional to 286,985.88, 430,489.68 and 146,580.48

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Solution

The fourth proportional to 286,985.88, 430,489.68 and 146,580.48 is: 219,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,985.88 : 430,489.68 = 146,580.48 : x
  2. Step 2: Convert to fraction form
    286,985.88/430,489.68 = 146,580.48/x
  3. Step 3: Cross multiply
    286,985.88x = 430,489.68 × 146,580.48
  4. Step 4: Simplify right side
    286,985.88x = 63,101,383,929.45
  5. Step 5: Solve for x
    x = 63,101,383,929.45/286,985.88
  6. Step 6: Final answer
    x = 219,876.27

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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.