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Finding the Fourth Proportional to 359,723.49, 496,478.45 and 343,779.81

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Solution

The fourth proportional to 359,723.49, 496,478.45 and 343,779.81 is: 474,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,723.49 : 496,478.45 = 343,779.81 : x
  2. Step 2: Convert to fraction form
    359,723.49/496,478.45 = 343,779.81/x
  3. Step 3: Cross multiply
    359,723.49x = 496,478.45 × 343,779.81
  4. Step 4: Simplify right side
    359,723.49x = 170,679,267,210.10
  5. Step 5: Solve for x
    x = 170,679,267,210.10/359,723.49
  6. Step 6: Final answer
    x = 474,473.51

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Why These Related Problems?

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