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Finding the Fourth Proportional to 498,386.56, 687,709.16 and 280,567.74

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Solution

The fourth proportional to 498,386.56, 687,709.16 and 280,567.74 is: 387,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,386.56 : 687,709.16 = 280,567.74 : x
  2. Step 2: Convert to fraction form
    498,386.56/687,709.16 = 280,567.74/x
  3. Step 3: Cross multiply
    498,386.56x = 687,709.16 × 280,567.74
  4. Step 4: Simplify right side
    498,386.56x = 192,949,004,798.50
  5. Step 5: Solve for x
    x = 192,949,004,798.50/498,386.56
  6. Step 6: Final answer
    x = 387,147.29

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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.