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Finding the Fourth Proportional to 674,133, 1,011,494.70 and 319,400.52

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Solution

The fourth proportional to 674,133, 1,011,494.70 and 319,400.52 is: 479,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,133 : 1,011,494.70 = 319,400.52 : x
  2. Step 2: Convert to fraction form
    674,133/1,011,494.70 = 319,400.52/x
  3. Step 3: Cross multiply
    674,133x = 1,011,494.70 × 319,400.52
  4. Step 4: Simplify right side
    674,133x = 323,071,933,157.24
  5. Step 5: Solve for x
    x = 323,071,933,157.24/674,133
  6. Step 6: Final answer
    x = 479,240.64

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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.