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Finding the Fourth Proportional to 542,343.24, 812,806.36 and 302,447.57

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Solution

The fourth proportional to 542,343.24, 812,806.36 and 302,447.57 is: 453,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,343.24 : 812,806.36 = 302,447.57 : x
  2. Step 2: Convert to fraction form
    542,343.24/812,806.36 = 302,447.57/x
  3. Step 3: Cross multiply
    542,343.24x = 812,806.36 × 302,447.57
  4. Step 4: Simplify right side
    542,343.24x = 245,831,305,792.58
  5. Step 5: Solve for x
    x = 245,831,305,792.58/542,343.24
  6. Step 6: Final answer
    x = 453,276.24

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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.