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Finding the Fourth Proportional to 509,885.12, 703,642.05 and 283,525.76

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Solution

The fourth proportional to 509,885.12, 703,642.05 and 283,525.76 is: 391,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,885.12 : 703,642.05 = 283,525.76 : x
  2. Step 2: Convert to fraction form
    509,885.12/703,642.05 = 283,525.76/x
  3. Step 3: Cross multiply
    509,885.12x = 703,642.05 × 283,525.76
  4. Step 4: Simplify right side
    509,885.12x = 199,500,646,994.21
  5. Step 5: Solve for x
    x = 199,500,646,994.21/509,885.12
  6. Step 6: Final answer
    x = 391,265.87

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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.