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Finding the Fourth Proportional to 415,701.20, 621,994.80 and 296,034.80

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Solution

The fourth proportional to 415,701.20, 621,994.80 and 296,034.80 is: 442,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,701.20 : 621,994.80 = 296,034.80 : x
  2. Step 2: Convert to fraction form
    415,701.20/621,994.80 = 296,034.80/x
  3. Step 3: Cross multiply
    415,701.20x = 621,994.80 × 296,034.80
  4. Step 4: Simplify right side
    415,701.20x = 184,132,106,219.04
  5. Step 5: Solve for x
    x = 184,132,106,219.04/415,701.20
  6. Step 6: Final answer
    x = 442,943.41

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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.