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Finding the Fourth Proportional to 643,965.61, 888,628.01 and 357,463.15

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Solution

The fourth proportional to 643,965.61, 888,628.01 and 357,463.15 is: 493,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,965.61 : 888,628.01 = 357,463.15 : x
  2. Step 2: Convert to fraction form
    643,965.61/888,628.01 = 357,463.15/x
  3. Step 3: Cross multiply
    643,965.61x = 888,628.01 × 357,463.15
  4. Step 4: Simplify right side
    643,965.61x = 317,651,767,632.83
  5. Step 5: Solve for x
    x = 317,651,767,632.83/643,965.61
  6. Step 6: Final answer
    x = 493,274.43

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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.