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Finding the Fourth Proportional to 520,425.18, 780,106.01 and 295,310.12

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Solution

The fourth proportional to 520,425.18, 780,106.01 and 295,310.12 is: 442,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,425.18 : 780,106.01 = 295,310.12 : x
  2. Step 2: Convert to fraction form
    520,425.18/780,106.01 = 295,310.12/x
  3. Step 3: Cross multiply
    520,425.18x = 780,106.01 × 295,310.12
  4. Step 4: Simplify right side
    520,425.18x = 230,373,194,048.74
  5. Step 5: Solve for x
    x = 230,373,194,048.74/520,425.18
  6. Step 6: Final answer
    x = 442,663.43

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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.