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Finding the Fourth Proportional to 519,306.50, 716,645.14 and 280,842.50

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Solution

The fourth proportional to 519,306.50, 716,645.14 and 280,842.50 is: 387,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,306.50 : 716,645.14 = 280,842.50 : x
  2. Step 2: Convert to fraction form
    519,306.50/716,645.14 = 280,842.50/x
  3. Step 3: Cross multiply
    519,306.50x = 716,645.14 × 280,842.50
  4. Step 4: Simplify right side
    519,306.50x = 201,264,412,730.45
  5. Step 5: Solve for x
    x = 201,264,412,730.45/519,306.50
  6. Step 6: Final answer
    x = 387,563.82

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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.