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Finding the Fourth Proportional to 340,034.40, 508,885.20 and 312,040.80

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Solution

The fourth proportional to 340,034.40, 508,885.20 and 312,040.80 is: 466,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,034.40 : 508,885.20 = 312,040.80 : x
  2. Step 2: Convert to fraction form
    340,034.40/508,885.20 = 312,040.80/x
  3. Step 3: Cross multiply
    340,034.40x = 508,885.20 × 312,040.80
  4. Step 4: Simplify right side
    340,034.40x = 158,792,944,916.16
  5. Step 5: Solve for x
    x = 158,792,944,916.16/340,034.40
  6. Step 6: Final answer
    x = 466,990.82

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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.