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Finding the Fourth Proportional to 523,473.87, 722,378.16 and 290,900.02

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Solution

The fourth proportional to 523,473.87, 722,378.16 and 290,900.02 is: 401,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,473.87 : 722,378.16 = 290,900.02 : x
  2. Step 2: Convert to fraction form
    523,473.87/722,378.16 = 290,900.02/x
  3. Step 3: Cross multiply
    523,473.87x = 722,378.16 × 290,900.02
  4. Step 4: Simplify right side
    523,473.87x = 210,139,817,579.67
  5. Step 5: Solve for x
    x = 210,139,817,579.67/523,473.87
  6. Step 6: Final answer
    x = 401,433.26

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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.