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Finding the Fourth Proportional to 506,319.78, 698,719.50 and 285,539.52

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Solution

The fourth proportional to 506,319.78, 698,719.50 and 285,539.52 is: 394,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,319.78 : 698,719.50 = 285,539.52 : x
  2. Step 2: Convert to fraction form
    506,319.78/698,719.50 = 285,539.52/x
  3. Step 3: Cross multiply
    506,319.78x = 698,719.50 × 285,539.52
  4. Step 4: Simplify right side
    506,319.78x = 199,512,030,644.64
  5. Step 5: Solve for x
    x = 199,512,030,644.64/506,319.78
  6. Step 6: Final answer
    x = 394,043.52

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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.