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Finding the Fourth Proportional to 417,560.94, 626,318.73 and 257,667.35

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Solution

The fourth proportional to 417,560.94, 626,318.73 and 257,667.35 is: 386,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,560.94 : 626,318.73 = 257,667.35 : x
  2. Step 2: Convert to fraction form
    417,560.94/626,318.73 = 257,667.35/x
  3. Step 3: Cross multiply
    417,560.94x = 626,318.73 × 257,667.35
  4. Step 4: Simplify right side
    417,560.94x = 161,381,884,282.87
  5. Step 5: Solve for x
    x = 161,381,884,282.87/417,560.94
  6. Step 6: Final answer
    x = 386,487.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.