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Finding the Fourth Proportional to 258,315.40, 386,781.90 and 164,312.20

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Solution

The fourth proportional to 258,315.40, 386,781.90 and 164,312.20 is: 246,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,315.40 : 386,781.90 = 164,312.20 : x
  2. Step 2: Convert to fraction form
    258,315.40/386,781.90 = 164,312.20/x
  3. Step 3: Cross multiply
    258,315.40x = 386,781.90 × 164,312.20
  4. Step 4: Simplify right side
    258,315.40x = 63,552,984,909.18
  5. Step 5: Solve for x
    x = 63,552,984,909.18/258,315.40
  6. Step 6: Final answer
    x = 246,028.63

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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.