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Finding the Fourth Proportional to 578,064.65, 797,723.29 and 319,942.15

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Solution

The fourth proportional to 578,064.65, 797,723.29 and 319,942.15 is: 441,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,064.65 : 797,723.29 = 319,942.15 : x
  2. Step 2: Convert to fraction form
    578,064.65/797,723.29 = 319,942.15/x
  3. Step 3: Cross multiply
    578,064.65x = 797,723.29 × 319,942.15
  4. Step 4: Simplify right side
    578,064.65x = 255,225,305,600.81
  5. Step 5: Solve for x
    x = 255,225,305,600.81/578,064.65
  6. Step 6: Final answer
    x = 441,516.89

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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.