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Finding the Fourth Proportional to 508,906.40, 762,706.80 and 284,266.40

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Solution

The fourth proportional to 508,906.40, 762,706.80 and 284,266.40 is: 426,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,906.40 : 762,706.80 = 284,266.40 : x
  2. Step 2: Convert to fraction form
    508,906.40/762,706.80 = 284,266.40/x
  3. Step 3: Cross multiply
    508,906.40x = 762,706.80 × 284,266.40
  4. Step 4: Simplify right side
    508,906.40x = 216,811,916,291.52
  5. Step 5: Solve for x
    x = 216,811,916,291.52/508,906.40
  6. Step 6: Final answer
    x = 426,034.96

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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.