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Finding the Fourth Proportional to 506,788.52, 699,389.44 and 280,434.02

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Solution

The fourth proportional to 506,788.52, 699,389.44 and 280,434.02 is: 387,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,788.52 : 699,389.44 = 280,434.02 : x
  2. Step 2: Convert to fraction form
    506,788.52/699,389.44 = 280,434.02/x
  3. Step 3: Cross multiply
    506,788.52x = 699,389.44 × 280,434.02
  4. Step 4: Simplify right side
    506,788.52x = 196,132,588,006.72
  5. Step 5: Solve for x
    x = 196,132,588,006.72/506,788.52
  6. Step 6: Final answer
    x = 387,010.72

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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.