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Finding the Fourth Proportional to 510,913.20, 766,369.80 and 289,729.20

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Solution

The fourth proportional to 510,913.20, 766,369.80 and 289,729.20 is: 434,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,913.20 : 766,369.80 = 289,729.20 : x
  2. Step 2: Convert to fraction form
    510,913.20/766,369.80 = 289,729.20/x
  3. Step 3: Cross multiply
    510,913.20x = 766,369.80 × 289,729.20
  4. Step 4: Simplify right side
    510,913.20x = 222,039,709,058.16
  5. Step 5: Solve for x
    x = 222,039,709,058.16/510,913.20
  6. Step 6: Final answer
    x = 434,593.80

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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.