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Finding the Fourth Proportional to 510,490.56, 765,707.92 and 155,474.88

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Solution

The fourth proportional to 510,490.56, 765,707.92 and 155,474.88 is: 233,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,490.56 : 765,707.92 = 155,474.88 : x
  2. Step 2: Convert to fraction form
    510,490.56/765,707.92 = 155,474.88/x
  3. Step 3: Cross multiply
    510,490.56x = 765,707.92 × 155,474.88
  4. Step 4: Simplify right side
    510,490.56x = 119,048,346,977.05
  5. Step 5: Solve for x
    x = 119,048,346,977.05/510,490.56
  6. Step 6: Final answer
    x = 233,203.82

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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.