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Finding the Fourth Proportional to 508,880.58, 702,227.79 and 282,511.50

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Solution

The fourth proportional to 508,880.58, 702,227.79 and 282,511.50 is: 389,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,880.58 : 702,227.79 = 282,511.50 : x
  2. Step 2: Convert to fraction form
    508,880.58/702,227.79 = 282,511.50/x
  3. Step 3: Cross multiply
    508,880.58x = 702,227.79 × 282,511.50
  4. Step 4: Simplify right side
    508,880.58x = 198,387,426,294.59
  5. Step 5: Solve for x
    x = 198,387,426,294.59/508,880.58
  6. Step 6: Final answer
    x = 389,850.65

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Why These Related Problems?

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