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Finding the Fourth Proportional to 489,742.20, 734,613.30 and 405,761.40

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Solution

The fourth proportional to 489,742.20, 734,613.30 and 405,761.40 is: 608,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,742.20 : 734,613.30 = 405,761.40 : x
  2. Step 2: Convert to fraction form
    489,742.20/734,613.30 = 405,761.40/x
  3. Step 3: Cross multiply
    489,742.20x = 734,613.30 × 405,761.40
  4. Step 4: Simplify right side
    489,742.20x = 298,077,721,066.62
  5. Step 5: Solve for x
    x = 298,077,721,066.62/489,742.20
  6. Step 6: Final answer
    x = 608,642.10

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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.