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Finding the Fourth Proportional to 509,973.36, 703,788.12 and 283,614

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Solution

The fourth proportional to 509,973.36, 703,788.12 and 283,614 is: 391,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,973.36 : 703,788.12 = 283,614 : x
  2. Step 2: Convert to fraction form
    509,973.36/703,788.12 = 283,614/x
  3. Step 3: Cross multiply
    509,973.36x = 703,788.12 × 283,614
  4. Step 4: Simplify right side
    509,973.36x = 199,604,163,865.68
  5. Step 5: Solve for x
    x = 199,604,163,865.68/509,973.36
  6. Step 6: Final answer
    x = 391,401.16

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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.