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Finding the Fourth Proportional to 520,586, 718,409.16 and 282,122

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Solution

The fourth proportional to 520,586, 718,409.16 and 282,122 is: 389,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,586 : 718,409.16 = 282,122 : x
  2. Step 2: Convert to fraction form
    520,586/718,409.16 = 282,122/x
  3. Step 3: Cross multiply
    520,586x = 718,409.16 × 282,122
  4. Step 4: Simplify right side
    520,586x = 202,679,029,037.52
  5. Step 5: Solve for x
    x = 202,679,029,037.52/520,586
  6. Step 6: Final answer
    x = 389,328.62

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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.