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Finding the Fourth Proportional to 513,507.15, 769,619.21 and 354,468.51

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Solution

The fourth proportional to 513,507.15, 769,619.21 and 354,468.51 is: 531,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,507.15 : 769,619.21 = 354,468.51 : x
  2. Step 2: Convert to fraction form
    513,507.15/769,619.21 = 354,468.51/x
  3. Step 3: Cross multiply
    513,507.15x = 769,619.21 × 354,468.51
  4. Step 4: Simplify right side
    513,507.15x = 272,805,772,863.74
  5. Step 5: Solve for x
    x = 272,805,772,863.74/513,507.15
  6. Step 6: Final answer
    x = 531,259.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.