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Finding the Fourth Proportional to 419,301.12, 578,635.16 and 228,315.88

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Solution

The fourth proportional to 419,301.12, 578,635.16 and 228,315.88 is: 315,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,301.12 : 578,635.16 = 228,315.88 : x
  2. Step 2: Convert to fraction form
    419,301.12/578,635.16 = 228,315.88/x
  3. Step 3: Cross multiply
    419,301.12x = 578,635.16 × 228,315.88
  4. Step 4: Simplify right side
    419,301.12x = 132,111,595,754.34
  5. Step 5: Solve for x
    x = 132,111,595,754.34/419,301.12
  6. Step 6: Final answer
    x = 315,075.70

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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.