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Finding the Fourth Proportional to 507,167.16, 699,890.73 and 280,812.66

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Solution

The fourth proportional to 507,167.16, 699,890.73 and 280,812.66 is: 387,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,167.16 : 699,890.73 = 280,812.66 : x
  2. Step 2: Convert to fraction form
    507,167.16/699,890.73 = 280,812.66/x
  3. Step 3: Cross multiply
    507,167.16x = 699,890.73 × 280,812.66
  4. Step 4: Simplify right side
    507,167.16x = 196,538,172,697.13
  5. Step 5: Solve for x
    x = 196,538,172,697.13/507,167.16
  6. Step 6: Final answer
    x = 387,521.49

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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.