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Finding the Fourth Proportional to 674,649.81, 931,015.15 and 384,261.32

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Solution

The fourth proportional to 674,649.81, 931,015.15 and 384,261.32 is: 530,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,649.81 : 931,015.15 = 384,261.32 : x
  2. Step 2: Convert to fraction form
    674,649.81/931,015.15 = 384,261.32/x
  3. Step 3: Cross multiply
    674,649.81x = 931,015.15 × 384,261.32
  4. Step 4: Simplify right side
    674,649.81x = 357,753,106,304.25
  5. Step 5: Solve for x
    x = 357,753,106,304.25/674,649.81
  6. Step 6: Final answer
    x = 530,279.71

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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.