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Finding the Fourth Proportional to 507,170.80, 760,328.04 and 319,769.20

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Solution

The fourth proportional to 507,170.80, 760,328.04 and 319,769.20 is: 479,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,170.80 : 760,328.04 = 319,769.20 : x
  2. Step 2: Convert to fraction form
    507,170.80/760,328.04 = 319,769.20/x
  3. Step 3: Cross multiply
    507,170.80x = 760,328.04 × 319,769.20
  4. Step 4: Simplify right side
    507,170.80x = 243,129,489,088.37
  5. Step 5: Solve for x
    x = 243,129,489,088.37/507,170.80
  6. Step 6: Final answer
    x = 479,383.85

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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.