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Finding the Fourth Proportional to 318,654.57, 478,053.87 and 105,421.98

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Solution

The fourth proportional to 318,654.57, 478,053.87 and 105,421.98 is: 158,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,654.57 : 478,053.87 = 105,421.98 : x
  2. Step 2: Convert to fraction form
    318,654.57/478,053.87 = 105,421.98/x
  3. Step 3: Cross multiply
    318,654.57x = 478,053.87 × 105,421.98
  4. Step 4: Simplify right side
    318,654.57x = 50,397,385,522.06
  5. Step 5: Solve for x
    x = 50,397,385,522.06/318,654.57
  6. Step 6: Final answer
    x = 158,156.80

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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.