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Finding the Fourth Proportional to 507,645.84, 700,365.90 and 303,702.62

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Solution

The fourth proportional to 507,645.84, 700,365.90 and 303,702.62 is: 418,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,645.84 : 700,365.90 = 303,702.62 : x
  2. Step 2: Convert to fraction form
    507,645.84/700,365.90 = 303,702.62/x
  3. Step 3: Cross multiply
    507,645.84x = 700,365.90 × 303,702.62
  4. Step 4: Simplify right side
    507,645.84x = 212,702,958,788.66
  5. Step 5: Solve for x
    x = 212,702,958,788.66/507,645.84
  6. Step 6: Final answer
    x = 418,998.72

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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.