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Finding the Fourth Proportional to 510,493.56, 765,712.42 and 155,477.88

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Solution

The fourth proportional to 510,493.56, 765,712.42 and 155,477.88 is: 233,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,493.56 : 765,712.42 = 155,477.88 : x
  2. Step 2: Convert to fraction form
    510,493.56/765,712.42 = 155,477.88/x
  3. Step 3: Cross multiply
    510,493.56x = 765,712.42 × 155,477.88
  4. Step 4: Simplify right side
    510,493.56x = 119,051,343,751.27
  5. Step 5: Solve for x
    x = 119,051,343,751.27/510,493.56
  6. Step 6: Final answer
    x = 233,208.32

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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.