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Finding the Fourth Proportional to 782,103.50, 1,079,302.83 and 424,407.50

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Solution

The fourth proportional to 782,103.50, 1,079,302.83 and 424,407.50 is: 585,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,103.50 : 1,079,302.83 = 424,407.50 : x
  2. Step 2: Convert to fraction form
    782,103.50/1,079,302.83 = 424,407.50/x
  3. Step 3: Cross multiply
    782,103.50x = 1,079,302.83 × 424,407.50
  4. Step 4: Simplify right side
    782,103.50x = 458,064,215,823.23
  5. Step 5: Solve for x
    x = 458,064,215,823.23/782,103.50
  6. Step 6: Final answer
    x = 585,682.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.