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Finding the Fourth Proportional to 510,499.74, 702,970.29 and 499,171.49

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Solution

The fourth proportional to 510,499.74, 702,970.29 and 499,171.49 is: 687,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,499.74 : 702,970.29 = 499,171.49 : x
  2. Step 2: Convert to fraction form
    510,499.74/702,970.29 = 499,171.49/x
  3. Step 3: Cross multiply
    510,499.74x = 702,970.29 × 499,171.49
  4. Step 4: Simplify right side
    510,499.74x = 350,902,723,570.18
  5. Step 5: Solve for x
    x = 350,902,723,570.18/510,499.74
  6. Step 6: Final answer
    x = 687,371.01

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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.