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Finding the Fourth Proportional to 506,673.63, 699,269.56 and 285,916.64

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Solution

The fourth proportional to 506,673.63, 699,269.56 and 285,916.64 is: 394,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,673.63 : 699,269.56 = 285,916.64 : x
  2. Step 2: Convert to fraction form
    506,673.63/699,269.56 = 285,916.64/x
  3. Step 3: Cross multiply
    506,673.63x = 699,269.56 × 285,916.64
  4. Step 4: Simplify right side
    506,673.63x = 199,932,798,838.34
  5. Step 5: Solve for x
    x = 199,932,798,838.34/506,673.63
  6. Step 6: Final answer
    x = 394,598.79

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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.