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Finding the Fourth Proportional to 514,827.90, 709,675 and 361,435.76

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Solution

The fourth proportional to 514,827.90, 709,675 and 361,435.76 is: 498,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,827.90 : 709,675 = 361,435.76 : x
  2. Step 2: Convert to fraction form
    514,827.90/709,675 = 361,435.76/x
  3. Step 3: Cross multiply
    514,827.90x = 709,675 × 361,435.76
  4. Step 4: Simplify right side
    514,827.90x = 256,501,922,978
  5. Step 5: Solve for x
    x = 256,501,922,978/514,827.90
  6. Step 6: Final answer
    x = 498,228.48

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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.