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Finding the Fourth Proportional to 532,605.42, 734,991.75 and 290,888.10

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Solution

The fourth proportional to 532,605.42, 734,991.75 and 290,888.10 is: 401,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,605.42 : 734,991.75 = 290,888.10 : x
  2. Step 2: Convert to fraction form
    532,605.42/734,991.75 = 290,888.10/x
  3. Step 3: Cross multiply
    532,605.42x = 734,991.75 × 290,888.10
  4. Step 4: Simplify right side
    532,605.42x = 213,800,353,673.18
  5. Step 5: Solve for x
    x = 213,800,353,673.18/532,605.42
  6. Step 6: Final answer
    x = 401,423.54

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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.