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Finding the Fourth Proportional to 519,892.40, 729,424 and 519,892.40

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Solution

The fourth proportional to 519,892.40, 729,424 and 519,892.40 is: 729,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,892.40 : 729,424 = 519,892.40 : x
  2. Step 2: Convert to fraction form
    519,892.40/729,424 = 519,892.40/x
  3. Step 3: Cross multiply
    519,892.40x = 729,424 × 519,892.40
  4. Step 4: Simplify right side
    519,892.40x = 379,221,993,977.60
  5. Step 5: Solve for x
    x = 379,221,993,977.60/519,892.40
  6. Step 6: Final answer
    x = 729,424

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.