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Finding the Fourth Proportional to 338,073.42, 506,381.09 and 318,199.89

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Solution

The fourth proportional to 338,073.42, 506,381.09 and 318,199.89 is: 476,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,073.42 : 506,381.09 = 318,199.89 : x
  2. Step 2: Convert to fraction form
    338,073.42/506,381.09 = 318,199.89/x
  3. Step 3: Cross multiply
    338,073.42x = 506,381.09 × 318,199.89
  4. Step 4: Simplify right side
    338,073.42x = 161,130,405,545.08
  5. Step 5: Solve for x
    x = 161,130,405,545.08/338,073.42
  6. Step 6: Final answer
    x = 476,613.65

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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.