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Finding the Fourth Proportional to 520,398.49, 718,140.58 and 294,039.13

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Solution

The fourth proportional to 520,398.49, 718,140.58 and 294,039.13 is: 405,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,398.49 : 718,140.58 = 294,039.13 : x
  2. Step 2: Convert to fraction form
    520,398.49/718,140.58 = 294,039.13/x
  3. Step 3: Cross multiply
    520,398.49x = 718,140.58 × 294,039.13
  4. Step 4: Simplify right side
    520,398.49x = 211,161,431,360.90
  5. Step 5: Solve for x
    x = 211,161,431,360.90/520,398.49
  6. Step 6: Final answer
    x = 405,768.72

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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.