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Finding the Fourth Proportional to 319,777.05, 479,412.54 and 120,075.20

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Solution

The fourth proportional to 319,777.05, 479,412.54 and 120,075.20 is: 180,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,777.05 : 479,412.54 = 120,075.20 : x
  2. Step 2: Convert to fraction form
    319,777.05/479,412.54 = 120,075.20/x
  3. Step 3: Cross multiply
    319,777.05x = 479,412.54 × 120,075.20
  4. Step 4: Simplify right side
    319,777.05x = 57,565,554,225.95
  5. Step 5: Solve for x
    x = 57,565,554,225.95/319,777.05
  6. Step 6: Final answer
    x = 180,017.78

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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.