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Finding the Fourth Proportional to 674,320.86, 1,011,978.99 and 319,334.22

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Solution

The fourth proportional to 674,320.86, 1,011,978.99 and 319,334.22 is: 479,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,320.86 : 1,011,978.99 = 319,334.22 : x
  2. Step 2: Convert to fraction form
    674,320.86/1,011,978.99 = 319,334.22/x
  3. Step 3: Cross multiply
    674,320.86x = 1,011,978.99 × 319,334.22
  4. Step 4: Simplify right side
    674,320.86x = 323,159,521,428.04
  5. Step 5: Solve for x
    x = 323,159,521,428.04/674,320.86
  6. Step 6: Final answer
    x = 479,237.02

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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.