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Finding the Fourth Proportional to 415,347.83, 623,012.80 and 115,820.43

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Solution

The fourth proportional to 415,347.83, 623,012.80 and 115,820.43 is: 173,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,347.83 : 623,012.80 = 115,820.43 : x
  2. Step 2: Convert to fraction form
    415,347.83/623,012.80 = 115,820.43/x
  3. Step 3: Cross multiply
    415,347.83x = 623,012.80 × 115,820.43
  4. Step 4: Simplify right side
    415,347.83x = 72,157,609,812.40
  5. Step 5: Solve for x
    x = 72,157,609,812.40/415,347.83
  6. Step 6: Final answer
    x = 173,728.15

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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.