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Finding the Fourth Proportional to 517,871.84, 714,635.88 and 288,425.03

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Solution

The fourth proportional to 517,871.84, 714,635.88 and 288,425.03 is: 398,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,871.84 : 714,635.88 = 288,425.03 : x
  2. Step 2: Convert to fraction form
    517,871.84/714,635.88 = 288,425.03/x
  3. Step 3: Cross multiply
    517,871.84x = 714,635.88 × 288,425.03
  4. Step 4: Simplify right side
    517,871.84x = 206,118,875,128.08
  5. Step 5: Solve for x
    x = 206,118,875,128.08/517,871.84
  6. Step 6: Final answer
    x = 398,011.36

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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.