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Finding the Fourth Proportional to 318,744.91, 478,002.54 and 105,473.45

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Solution

The fourth proportional to 318,744.91, 478,002.54 and 105,473.45 is: 158,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,744.91 : 478,002.54 = 105,473.45 : x
  2. Step 2: Convert to fraction form
    318,744.91/478,002.54 = 105,473.45/x
  3. Step 3: Cross multiply
    318,744.91x = 478,002.54 × 105,473.45
  4. Step 4: Simplify right side
    318,744.91x = 50,416,576,655.42
  5. Step 5: Solve for x
    x = 50,416,576,655.42/318,744.91
  6. Step 6: Final answer
    x = 158,172.18

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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.