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Finding the Fourth Proportional to 684,871.80, 945,503.14 and 413,008.56

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Solution

The fourth proportional to 684,871.80, 945,503.14 and 413,008.56 is: 570,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,871.80 : 945,503.14 = 413,008.56 : x
  2. Step 2: Convert to fraction form
    684,871.80/945,503.14 = 413,008.56/x
  3. Step 3: Cross multiply
    684,871.80x = 945,503.14 × 413,008.56
  4. Step 4: Simplify right side
    684,871.80x = 390,500,890,326.88
  5. Step 5: Solve for x
    x = 390,500,890,326.88/684,871.80
  6. Step 6: Final answer
    x = 570,181.00

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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.