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Finding the Fourth Proportional to 520,268.16, 780,476.51 and 160,469.30

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Solution

The fourth proportional to 520,268.16, 780,476.51 and 160,469.30 is: 240,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,268.16 : 780,476.51 = 160,469.30 : x
  2. Step 2: Convert to fraction form
    520,268.16/780,476.51 = 160,469.30/x
  3. Step 3: Cross multiply
    520,268.16x = 780,476.51 × 160,469.30
  4. Step 4: Simplify right side
    520,268.16x = 125,242,521,578.51
  5. Step 5: Solve for x
    x = 125,242,521,578.51/520,268.16
  6. Step 6: Final answer
    x = 240,726.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.