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Finding the Fourth Proportional to 415,232, 623,112.92 and 148,986.62

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Solution

The fourth proportional to 415,232, 623,112.92 and 148,986.62 is: 223,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,232 : 623,112.92 = 148,986.62 : x
  2. Step 2: Convert to fraction form
    415,232/623,112.92 = 148,986.62/x
  3. Step 3: Cross multiply
    415,232x = 623,112.92 × 148,986.62
  4. Step 4: Simplify right side
    415,232x = 92,835,487,829.13
  5. Step 5: Solve for x
    x = 92,835,487,829.13/415,232
  6. Step 6: Final answer
    x = 223,574.98

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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.