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Finding the Fourth Proportional to 507,102.40, 699,055.84 and 386,032.64

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Solution

The fourth proportional to 507,102.40, 699,055.84 and 386,032.64 is: 532,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,102.40 : 699,055.84 = 386,032.64 : x
  2. Step 2: Convert to fraction form
    507,102.40/699,055.84 = 386,032.64/x
  3. Step 3: Cross multiply
    507,102.40x = 699,055.84 × 386,032.64
  4. Step 4: Simplify right side
    507,102.40x = 269,858,371,422.62
  5. Step 5: Solve for x
    x = 269,858,371,422.62/507,102.40
  6. Step 6: Final answer
    x = 532,157.55

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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.