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Finding the Fourth Proportional to 510,148.70, 765,518.76 and 257,448.95

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Solution

The fourth proportional to 510,148.70, 765,518.76 and 257,448.95 is: 386,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,148.70 : 765,518.76 = 257,448.95 : x
  2. Step 2: Convert to fraction form
    510,148.70/765,518.76 = 257,448.95/x
  3. Step 3: Cross multiply
    510,148.70x = 765,518.76 × 257,448.95
  4. Step 4: Simplify right side
    510,148.70x = 197,082,001,593.85
  5. Step 5: Solve for x
    x = 197,082,001,593.85/510,148.70
  6. Step 6: Final answer
    x = 386,322.66

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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.