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Finding the Fourth Proportional to 319,354.81, 478,637.74 and 274,057.76

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Solution

The fourth proportional to 319,354.81, 478,637.74 and 274,057.76 is: 410,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,354.81 : 478,637.74 = 274,057.76 : x
  2. Step 2: Convert to fraction form
    319,354.81/478,637.74 = 274,057.76/x
  3. Step 3: Cross multiply
    319,354.81x = 478,637.74 × 274,057.76
  4. Step 4: Simplify right side
    319,354.81x = 131,174,388,415.03
  5. Step 5: Solve for x
    x = 131,174,388,415.03/319,354.81
  6. Step 6: Final answer
    x = 410,748.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.