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Finding the Fourth Proportional to 487,741.80, 730,446.30 and 394,429.80

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Solution

The fourth proportional to 487,741.80, 730,446.30 and 394,429.80 is: 590,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,741.80 : 730,446.30 = 394,429.80 : x
  2. Step 2: Convert to fraction form
    487,741.80/730,446.30 = 394,429.80/x
  3. Step 3: Cross multiply
    487,741.80x = 730,446.30 × 394,429.80
  4. Step 4: Simplify right side
    487,741.80x = 288,109,788,019.74
  5. Step 5: Solve for x
    x = 288,109,788,019.74/487,741.80
  6. Step 6: Final answer
    x = 590,701.45

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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.