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Finding the Fourth Proportional to 415,362.25, 623,043.31 and 99,819.16

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Solution

The fourth proportional to 415,362.25, 623,043.31 and 99,819.16 is: 149,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,362.25 : 623,043.31 = 99,819.16 : x
  2. Step 2: Convert to fraction form
    415,362.25/623,043.31 = 99,819.16/x
  3. Step 3: Cross multiply
    415,362.25x = 623,043.31 × 99,819.16
  4. Step 4: Simplify right side
    415,362.25x = 62,191,658,539.76
  5. Step 5: Solve for x
    x = 62,191,658,539.76/415,362.25
  6. Step 6: Final answer
    x = 149,728.72

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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.