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Finding the Fourth Proportional to 507,356.46, 700,069.64 and 303,491.61

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Solution

The fourth proportional to 507,356.46, 700,069.64 and 303,491.61 is: 418,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,356.46 : 700,069.64 = 303,491.61 : x
  2. Step 2: Convert to fraction form
    507,356.46/700,069.64 = 303,491.61/x
  3. Step 3: Cross multiply
    507,356.46x = 700,069.64 × 303,491.61
  4. Step 4: Simplify right side
    507,356.46x = 212,465,260,638.26
  5. Step 5: Solve for x
    x = 212,465,260,638.26/507,356.46
  6. Step 6: Final answer
    x = 418,769.20

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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.