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Finding the Fourth Proportional to 510,474.64, 765,684 and 155,458.93

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Solution

The fourth proportional to 510,474.64, 765,684 and 155,458.93 is: 233,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,474.64 : 765,684 = 155,458.93 : x
  2. Step 2: Convert to fraction form
    510,474.64/765,684 = 155,458.93/x
  3. Step 3: Cross multiply
    510,474.64x = 765,684 × 155,458.93
  4. Step 4: Simplify right side
    510,474.64x = 119,032,415,358.12
  5. Step 5: Solve for x
    x = 119,032,415,358.12/510,474.64
  6. Step 6: Final answer
    x = 233,179.88

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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.