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Finding the Fourth Proportional to 486,383.16, 728,079.93 and 414,638.76

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Solution

The fourth proportional to 486,383.16, 728,079.93 and 414,638.76 is: 620,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,383.16 : 728,079.93 = 414,638.76 : x
  2. Step 2: Convert to fraction form
    486,383.16/728,079.93 = 414,638.76/x
  3. Step 3: Cross multiply
    486,383.16x = 728,079.93 × 414,638.76
  4. Step 4: Simplify right side
    486,383.16x = 301,890,159,356.09
  5. Step 5: Solve for x
    x = 301,890,159,356.09/486,383.16
  6. Step 6: Final answer
    x = 620,683.82

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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.