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Finding the Fourth Proportional to 509,724, 703,419.93 and 283,369.50

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Solution

The fourth proportional to 509,724, 703,419.93 and 283,369.50 is: 391,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,724 : 703,419.93 = 283,369.50 : x
  2. Step 2: Convert to fraction form
    509,724/703,419.93 = 283,369.50/x
  3. Step 3: Cross multiply
    509,724x = 703,419.93 × 283,369.50
  4. Step 4: Simplify right side
    509,724x = 199,327,753,854.14
  5. Step 5: Solve for x
    x = 199,327,753,854.14/509,724
  6. Step 6: Final answer
    x = 391,050.36

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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.