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Finding the Fourth Proportional to 509,496.40, 765,022.20 and 391,301.20

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Solution

The fourth proportional to 509,496.40, 765,022.20 and 391,301.20 is: 587,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,496.40 : 765,022.20 = 391,301.20 : x
  2. Step 2: Convert to fraction form
    509,496.40/765,022.20 = 391,301.20/x
  3. Step 3: Cross multiply
    509,496.40x = 765,022.20 × 391,301.20
  4. Step 4: Simplify right side
    509,496.40x = 299,354,104,886.64
  5. Step 5: Solve for x
    x = 299,354,104,886.64/509,496.40
  6. Step 6: Final answer
    x = 587,549.01

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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.