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Finding the Fourth Proportional to 514,593.69, 709,906.41 and 310,579.40

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Solution

The fourth proportional to 514,593.69, 709,906.41 and 310,579.40 is: 428,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,593.69 : 709,906.41 = 310,579.40 : x
  2. Step 2: Convert to fraction form
    514,593.69/709,906.41 = 310,579.40/x
  3. Step 3: Cross multiply
    514,593.69x = 709,906.41 × 310,579.40
  4. Step 4: Simplify right side
    514,593.69x = 220,482,304,655.50
  5. Step 5: Solve for x
    x = 220,482,304,655.50/514,593.69
  6. Step 6: Final answer
    x = 428,459.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.