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Finding the Fourth Proportional to 395,254.65, 592,549.74 and 320,188.64

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Solution

The fourth proportional to 395,254.65, 592,549.74 and 320,188.64 is: 480,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,254.65 : 592,549.74 = 320,188.64 : x
  2. Step 2: Convert to fraction form
    395,254.65/592,549.74 = 320,188.64/x
  3. Step 3: Cross multiply
    395,254.65x = 592,549.74 × 320,188.64
  4. Step 4: Simplify right side
    395,254.65x = 189,727,695,382.95
  5. Step 5: Solve for x
    x = 189,727,695,382.95/395,254.65
  6. Step 6: Final answer
    x = 480,013.82

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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.