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Finding the Fourth Proportional to 359,676.40, 496,048.70 and 216,409.68

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Solution

The fourth proportional to 359,676.40, 496,048.70 and 216,409.68 is: 298,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,676.40 : 496,048.70 = 216,409.68 : x
  2. Step 2: Convert to fraction form
    359,676.40/496,048.70 = 216,409.68/x
  3. Step 3: Cross multiply
    359,676.40x = 496,048.70 × 216,409.68
  4. Step 4: Simplify right side
    359,676.40x = 107,349,740,431.42
  5. Step 5: Solve for x
    x = 107,349,740,431.42/359,676.40
  6. Step 6: Final answer
    x = 298,462.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.