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Finding the Fourth Proportional to 508,511.28, 701,743.32 and 282,156.24

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Solution

The fourth proportional to 508,511.28, 701,743.32 and 282,156.24 is: 389,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,511.28 : 701,743.32 = 282,156.24 : x
  2. Step 2: Convert to fraction form
    508,511.28/701,743.32 = 282,156.24/x
  3. Step 3: Cross multiply
    508,511.28x = 701,743.32 × 282,156.24
  4. Step 4: Simplify right side
    508,511.28x = 198,001,256,616.32
  5. Step 5: Solve for x
    x = 198,001,256,616.32/508,511.28
  6. Step 6: Final answer
    x = 389,374.36

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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.