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Finding the Fourth Proportional to 517,318.96, 713,962.31 and 313,363.89

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Solution

The fourth proportional to 517,318.96, 713,962.31 and 313,363.89 is: 432,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,318.96 : 713,962.31 = 313,363.89 : x
  2. Step 2: Convert to fraction form
    517,318.96/713,962.31 = 313,363.89/x
  3. Step 3: Cross multiply
    517,318.96x = 713,962.31 × 313,363.89
  4. Step 4: Simplify right side
    517,318.96x = 223,730,007,776.48
  5. Step 5: Solve for x
    x = 223,730,007,776.48/517,318.96
  6. Step 6: Final answer
    x = 432,479.82

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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.