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Finding the Fourth Proportional to 510,776.80, 766,637.28 and 258,234.88

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Solution

The fourth proportional to 510,776.80, 766,637.28 and 258,234.88 is: 387,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,776.80 : 766,637.28 = 258,234.88 : x
  2. Step 2: Convert to fraction form
    510,776.80/766,637.28 = 258,234.88/x
  3. Step 3: Cross multiply
    510,776.80x = 766,637.28 × 258,234.88
  4. Step 4: Simplify right side
    510,776.80x = 197,972,486,004.33
  5. Step 5: Solve for x
    x = 197,972,486,004.33/510,776.80
  6. Step 6: Final answer
    x = 387,590.99

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1.5x scale

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.