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Finding the Fourth Proportional to 507,643.11, 700,362.09 and 303,699.87

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Solution

The fourth proportional to 507,643.11, 700,362.09 and 303,699.87 is: 418,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,643.11 : 700,362.09 = 303,699.87 : x
  2. Step 2: Convert to fraction form
    507,643.11/700,362.09 = 303,699.87/x
  3. Step 3: Cross multiply
    507,643.11x = 700,362.09 × 303,699.87
  4. Step 4: Simplify right side
    507,643.11x = 212,699,875,685.93
  5. Step 5: Solve for x
    x = 212,699,875,685.93/507,643.11
  6. Step 6: Final answer
    x = 418,994.90

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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.